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The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published by quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.
JAAC is indexed in SCIE with Impact Factor 1.116 (2018).
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- New exact solutions for coupled Schrodinger-Boussinesq equations
- Existence of non-trivial solutions for the Kirchhoff-type equations with Fu\v{c}ik-type resonance at infinity
- complete invariant fuzzy metrics on semigroups and groups
- Conservation laws, exact solutions of time-space fractional generalized Ginzburg-Landau equation for shallow wake flows
- Some geometric properties of multivalent analytic functions associated with the lemniscate of Bernoulli
- Modeling the Within-Host Dynamics of Cholera: Bacterial-Viral-Immune Interaction
- The exact blow-up rate of large solutions to infinity-Laplacian equation
- Hopf bifurcation in a delayed predator-prey system with general group defense for prey
- Saddle-point Behavior of A Gilpin-Ayala Two-Species Competition Model with Stage Structure
- NEW PRECONDITIONED GAOR METHODS FOR BLOCK LINEAR SYSTEM ARISING FROM WEIGHTED LINEAR LEAST SQUARES PROBLEMS
- Positive and Sign-Changing Solutions for the Fractional Kirchhoff Equation with Critical Growth
- Hyers-Ulam stability for an nth order differential equation using fixed point approach
- Unilateral problem for a nonlinear wave equation with p-Laplacian operator
- Eigenvalue problem for fractional difference equation with nonlocal conditions
- Zero-Hopf bifurcation in nuclear spin generator system
- EXISTENCE AND MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS FOR A CLASS OF SECOND ORDER DAMPED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MULTIPLE DELAYS
- A theoretical study on schistosomiasis infection model: Application of biological optimal control
- Darboux transformations, multisolitons, breather and rogue wave solutions for a higher-order dispersive nonlinear Schrodinger equation
- {Regular dynamics and box-counting dimension\\ for a stochastic reaction-diffusion equation on unbounded domains
- Traveling wave, lump wave, rogue wave, multi-Kink solitary wave and interaction solutions
- Random pullback attractor for a non-autonomous modified Swift-Hohenberg equation with multiplicative noise
- Quadratic approximation of solutions for set-valued functional differential equations
- Non-periodic discrete Schrodinger equations with sign-changing and super-quadratic terms: Existence of solutions
- Spreading Speeds of Monostable Equations in Locally Spatially Variational Habitat with Hybrid Dispersal
- Existence and exponential stability of mild solutions for second-order neutral stochastic functional differential equation with random impulses
- The bifurcation travelling waves of a generalized Broer-Kaup equation
- General high-order breather solutions, lump solutions and mixed solutions in the (2+1)-dimensional bidirectional Sawada-Kotera equation
- Exploring the conformable time-fractional (3 + 1)- dimensional modi fied Korteweg-de Vries- Zakharov- Kuznetsov equation via three integration schemes
- A NOTE ON FIXED POINT THEOREMS ON G-METRIC SPACES
- Finite Iterative (R,S)-conjugate solutions of the generalized complex coupled Sylvester-transpose equations
- Stability and Hopf bifurcation analysis on a spruce-budworm model with delay
- Existence of Solutions to Fractional Differential Equations with Fractional-order Derivative Terms
- Monotone Traveling Waves of Nonmonotone Integrodifference Equations
- Dispersion and fractional Lie group analysis of time fractional equation from Burgers hierarchy
- The effects of delay and impulsive drug therapy in an HIV model with CTLs immune response
- Necessary and Sufficient Conditions and Optimal Constant Factors for the Validity of Multiple Integral Half-Discrete Hilbert Type Inequalities with a Class of Quasi-Homogeneous Kernels
- Existence and multiplicity of positive solutions for a system of nonlinear fractional multi-point boundary value problems with $p$-Laplacian operator
- Dynamics of a high-order nonlinear fuzzy difference equation
- A delayed discrete multi-group nonlinear epidemic model with vaccination and latency
- Existence and multiplicity of weak solutions for a class of fractional Sturm-Liouville boundary value problems with impulsive conditions
- Convergence analysis of new additive Schwarz method for solving nonselfadjoint elliptic problems
- Robust fixed-time consensus protocols for multi-agent systems with nonlinear state measurements
- Cauchy problem for the generalized Davey-Stewartson systems in Besov spaces and some counterexamples
- Overlapping multi-domain spectral method for Non-Darcian mixed convection chemically reacting flow of micropolar fluid over a flat plate in a porous media
- Optimal iterative perturbation technique for solving Jeffery-Hamel flow with high magnetic field and nanoparticle
- Analysis of autonomous Lotka-Volterra systems by Levy noise
- Self-adjoint realization of a class of third-order differential operators with eigenparameter dependent boundary conditions
- Nonlocal symmetries and exact solutions of variable coefficient AKNS system
- On ADMM-based methods for solving the nearness symmetric solution of the system of matrix equations A1XB1 = C1 and A2XB2 = C2
- Stability analysis of a nonlocal fractional impulsive coupled evolution differential equation
- A Few Equivalent Statements of a Hilbert-Type Integral Inequality with the Riemann Zeta Function
- EFFECT OF TEMPERATURE ON ADAPTIVE EVOLUTION OF PHYTOPLANKTON CELL SIZE
- Effect of media-induced modification of travel rates on disease transmission in a multiple patch setting
- Anti-Periodic solution for fourth-order impulsive differential equation via Saddle point theorem
- Asymptotic dynamic of the nonclassical diffusion equation with time-dependent coefficient
- Variational methods to the fourth-order linear and nonlinear diffierential equations with non-instantaneous impulses
- On Exact Solutions to Epidemic Dynamic Models
- HIGHER ORDER DUALITY FOR A NEW CLASS OF NONCONVEX MULTIOBJECTIVE FRACTIONAL SEMI-INFINITE PROGRAMMING WITH SUPPORT FUNCTIONS
- Positive solutions of fractional differential equation boundary value problems at resonance
- Bifurcation of limit cycles at a nilpotent critical point in a septic Lyapunov system
- CC-center of a class of rigid di?erential systems
- Existence results of solutions for anti-periodic fractional Langevin equation
- Positive periodic solutions for a nonlinear differential system with two parameters
- Periodic solution of a stochastic SIQR epidemic model incorporating media coverage
- Newly Produced Disc E?ects via Advanced Contractions on F-metric Space
- Solutions for the Kirchhoff type equations with fractional Laplacian
- On an Extended Hardy-Hilbert's Inequality in the Whole Plane
- BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR THE NONLINEAR SCHR O¨DINGER EQUATION WITH FOURTH-ORDER DISPERSION AND CUBIC-QUINTIC NONLINEARITY
- Interactions of delta shock waves for a class of nonstrictly hyperbolic system of conservation laws
- Entire solutions of delay differential equations of Malmquist type
- Spatiotemporal dynamics in a predator-prey model with a functional response increasing in both predator and prey densities
- GLOBAL ANALYSIS OF THE SHADOW GIERER-MEINHARDT SYSTEM WITH GENERAL LINEAR BOUNDARY CONDITIONS IN A RANDOM ENVIRONMENT
- Further discussion on Kato's chaos in set-valued discrete systems
- Random attractors for non-autonomous fractional stochastic Ginzburg-Landau equations on unbounded domains
- A BASIS OF HIERARCHY OF GENERALIZED SYMMETRIES AND THEIR CONSERVATION LAWS FOR THE (3+1)-DIMENSIONAL DIFFUSION EQUATION
- Impact of noise effects on the phytoplankton-zooplankton dynamics
- Global dynamics of a Filippov plant disease model with an economic threshold of infected-susceptible ratio
- Mixed monotone iterative technique for Hilfer fractional evolution equations with nonlocal conditions
- Second-order Normal Forms for n-dimensional Systems with a Nilpotent Point
- A New Third Order Exponentially Fitted Discretization for the Solution of Non-linear Two Point Boundary Value Problems on a Graded Mesh
- A TWO-STEP MODULUS-BASED MULTISPLITTING ITERATION METHOD FOR THE NONLINEAR COMPLEMENTARITY PROBLEM
- On a Reverse Hardy-Littlewood-Polya’s Inequality
- Polynomial and rational wave solutions of Kudryashov-Sinelshchikov equation and numerical simulations for its dynamic motions
- Infinitely many solutions for a nonlocal problems
- Global analysis for an epidemical model of vector-borne plant viruses with disease resistance and nonlinear incidence
- Receptor-Mediated Endocytosis Modeling of Antibody-Drug Conjugates to the Released Payload within the Intracellular Space Considering Target Antigen Expression Levels
- On the eigenvalues of second-order boundary-value problems
- Infinitely many low- and high-energy solutions for a class of elliptic equations with variable exponent
- Global stability of autonomous and nonautonomous hepatitis B virus models in patchy environment
- Lie symmetry analysis to Fisher’s equation with time fractional order
- Generalized p(x)-elliptic system with non physical data
- Solvability for Riemann-Stieltjes integral boundary value problems of Bagley-Torvik equations at resonance
- An inertial shrinking projection algorithm for split common fixed point problems
- Third order boundary value problem with finite spectrum on time scales
- Exponential attractor for Hindmarsh-Rose equations in neurodynamics
- Accelerated projection-based forward-backward splitting algorithms for monotone inclusion problems
- Equivalence of Initialized Riemann-Liouville and Caputo Derivatives
- Fractional Hermite Degenerate Kernel Method for Linear Fredholm Integral Equations involving Endpoint Singularities
- Remarks on the asymptotic behavior of scalar auxiliary variable (SAV) schemes for gradient-like flows
- On the number of limit cycles by perturbing a piecewise smooth Hamilton system with two straight lines of separation
- The boundedness for solutions of certain two-dimensional fractional differential systems with delay
- Existence and concentration result for Kirchhoff equations with critical exponent and Hartree nonlinearity
- Wong-Zakai approximations and attractors for fractional stochastic reaction-diffusion equations on unbounded domains
- DYNAMICS OF A VIRAL INFECTIOLOGY UNDER TREATMENT
- The reduced order method for solving the linear complementarity problem with an M-matrix
- Renhai Wang and Yangrong Li
- Asymptotic autonomy of random attractors for BBM equations with Laplace-multiplier noise
2020, Vol.10, (4):1199-1222, DOI:10.11948/20180145
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- Shehu Maitama and Weidong Zhao
- Beyond sumudu transform and natural transform: J-transform properties and applications
2020, Vol.10, (4):1223-1241, DOI:10.11948/20180258
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- Jingliang Lv, Xiaoling Zou and Yujie Li
- Dynamical properties of a stochastic predator-prey model with functional response
2020, Vol.10, (4):1242-1255, DOI:10.11948/20190104
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- Dianli Zhao, Haidong Liu, Yanli Zhou and Sanling Yuan
- Quadratic harvesting dominated optimal strategy for a stochastic single-species model
2020, Vol.10, (4):1256-1266, DOI:10.11948/20190174
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- Litao Zhang, Yifan Zhang and Xianyu Zuo
- Global relaxed modulus-based synchronous block multisplitting multi-parameters methods for linear complementarity problems
2020, Vol.10, (4):1267-1281, DOI:10.11948/20190177
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- Tongxin Yan and Changfeng Ma
- An iterative algorithm for solving a class of generalized coupled Sylvester-transpose matrix equations over bisymmetric or skew-anti-symmetric matrices
2020, Vol.10, (4):1282-1310, DOI:10.11948/20190184
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- Kamel Saoudi, Mouna Kratou and Eadah AlZahrani
- Uniqueness and existence of solutions for a singular system with nonlocal operator via perturbation method
2020, Vol.10, (4):1311-1325, DOI:10.11948/20190189
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- Huabing Li and Jianjun Jin
- On a p-adic Hilbert-type integral operator and its applications
2020, Vol.10, (4):1326-1334, DOI:10.11948/20190194
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- Funda Babaarslan and Adive Nihal Tuncer
- Rough convergence of double sequences of fuzzy numbers
2020, Vol.10, (4):1335-1342, DOI:10.11948/20190195
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- Haza Saleh Alayachi, M. S. M. Noorani and E. M. Elsayed
- Qualitative analysis of a fourth order difference equation
2020, Vol.10, (4):1343-1354, DOI:10.11948/20190196
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- Peng Liu, Anqi Zhou, Bing Huo and Xijun Liu
- Limit cycle bifurcations in the in-plane galloping of iced transmission line
2020, Vol.10, (4):1355-1374, DOI:10.11948/20190202
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- Nauman Raza and Ahmad Javid
- Modulation instability and optical solitons of Radhakrishnan-Kundu-Lakshmanan model
2020, Vol.10, (4):1375-1395, DOI:10.11948/20190203
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- Wenjie Cao and Tao Pan
- Dynamics of an impulsive stochastic SIR epidemic model with saturated incidence rate
2020, Vol.10, (4):1396-1415, DOI:10.11948/20190214
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- Ziqing Yuan and Mugen Huang
- Existence and multiplicity of solutions for p(x)-Laplacian differential inclusions involving critical growth
2020, Vol.10, (4):1416-1432, DOI:10.11948/20190216
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- Bhupen Deka, Papri Roy and Naresh Kumar
- Weak Galerkin finite element methods combined with Crank-Nicolson scheme for parabolic interface problems
2020, Vol.10, (4):1433-1442, DOI:10.11948/20190218
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- Qing Meng and Bin He
- Bifurcation analysis and exact traveling wave solutions for a generic two-dimensional sine-Gordon equation in nonlinear optics
2020, Vol.10, (4):1443-1463, DOI:10.11948/20190227
- Miaomiao Gao, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi and Bashir Ahmad
- Dynamics of a stochastic chemostat competition model with plasmid-bearing and plasmid-free organisms
2020, Vol.10, (4):1464-1481, DOI:10.11948/20190236
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- Parvaiz Ahmad Naik, Jian Zu and Mohammad Ghoreishi
- Stability analysis and approximate solution of SIR epidemic model with Crowley-Martin type functional response and Holling type-II treatment rate by using homotopy analysis method
2020, Vol.10, (4):1482-1515, DOI:10.11948/20190239
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- Shang Wu and Jianhua Huang
- Invariant measure and statistical solutions for non-autonomous discrete Klein-Gordon-Schrodinger-type equations
2020, Vol.10, (4):1516-1533, DOI:10.11948/20190243
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- Lijun Hong, Xiaochun Hong and Junliang Lu
- A linear estimation to the number of zeros for Abelian integrals in a kind of quadratic reversible centers of genus one
2020, Vol.10, (4):1534-1544, DOI:10.11948/20190247
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- Oktay Mukhtarov and Kadriye Aydemir
- Discontinuous Sturm-Liouville problems involving an abstract linear operator
2020, Vol.10, (4):1545-1560, DOI:10.11948/20190249
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- Peng Wu and Hongyong Zhao
- Modeling and dynamics of HIV transmission among high-risk groups in Guangzhou city, China
2020, Vol.10, (4):1561-1587, DOI:10.11948/20190252
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- M. A. Abdou, A. A. Soliman and M. A. Abdel-Aty
- Analytical results for quadratic integral equations with phase--lag term
2020, Vol.10, (4):1588-1598, DOI:10.11948/20190279
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- Yaru Fu, Xiaoyu Jiang, Zhaolin Jiang and Seong Tae Jhang
- Inverses and eigenpairs of tridiagonal Toeplitz matrix with opposite-bordered rows
2020, Vol.10, (4):1599-1613, DOI:10.11948/20190287
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- Ronghua Wang, Xiaoling Xu and Beiqing Gu
- Statistical analysis of two-parameter generalized Birnbaum-Saunders Cauchy distribution
2020, Vol.10, (4):1614-1635, DOI:10.11948/20190293
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- Jie Liu, Zhibo Cheng and Yi Wang
- Positive periodic solution for second-order nonlinear differential equation with singularity of attractive type
2020, Vol.10, (4):1636-1650, DOI:10.11948/20190305
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- Bin Long and Changrong Zhu
- Transverse homoclinic orbit bifurcated from a homoclinic manifold by the higher order melnikov integrals
2020, Vol.10, (4):1651-1665, DOI:10.11948/20190311
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- Tao Feng and Mingkang Ni
- Internal layers for a quasi--linear singularly perturbed delay differential equation
2020, Vol.10, (4):1666-1682, DOI:10.11948/20190337
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- Rui Ma, Yuzhen Bai and Fei Wang
- Dynamical behavior analysis of a two-dimensional discrete predator-prey model with prey refuge and fear factor
2020, Vol.10, (4):1683-1697, DOI:10.11948/20190426
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- Keyu Li and Fangfang Xu
- Global dynamics of a population model from river ecology
2020, Vol.10, (4):1698-1707, DOI:10.11948/20200081
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- Jibin Li and Maoan Han
- Exact peakon solutions given by the generalized hyperbolic functions for some nonlinear wave equations
2020, Vol.10, (4):1708-1719, DOI:10.11948/20200139
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[- Jie Song, Mi Hu, Yuzhen Bai and Yonghui Xia
- Dynamic analysis of a non-autonomous ratio-dependent predator-prey model with additional food
2018, Vol.8, (6):1893-1909, DOI:10.11948/2018.1893
- Li-Guo Yuan and Zeeshan Alam
- An optimal homotopy analysis method based on particle swarm optimization: application to fractional-order differential equation
2016, Vol.6, (1):103-118, DOI:10.11948/2016009
- Yanling Guo and Guoyuan Qi
- A topological horseshoe in a fractional-order Qi four-wing chaotic system
2015, Vol.5, (2):168-176, DOI:10.11948/2015015
- Zhiqiang Shao and Meixiang Huang
- Interactions of delta shock waves for the Aw-Rascle traffic model with split delta functions
2017, Vol.7, (1):119-133, DOI:10.11948/2017009
- Yuqing Zhang, Yuan Li and Rong An
- Two-level iteration penalty and variational multiscale method for steady incompressible flows
2016, Vol.6, (3):607-627, DOI:10.11948/2016042
- Jiamin Wei, Yongguang Yu and Sha Wang
- Parameter estimation for noisy chaotic systems based on an improved particle swarm optimization algorithm
2015, Vol.5, (2):232-242, DOI:10.11948/2015021
- Lufang Mi, Wenyan Cui and Honglian You
- Periodic and quasi-periodic solutions for the complex Swift-Hohenberg equation
2020, Vol.10, (1):297-313, DOI:10.11948/20190152
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- Feng Qi and Wen-Hui Li
- A logarithmically completely monotonic function involving the ratio of gamma functions
2015, Vol.5, (4):626-634, DOI:10.11948/2015049
- Shu-Ping Bai, Feng Qi and Shu-Hong Wang
- Some new integral inequalities of Hermite-Hadamard type for $\boldsymbol{(\alpha,m;P)}$-convex functions on co-ordinates
2016, Vol.6, (1):171-178, DOI:10.11948/2016014
- Peide Liu and Lanlan Shi
- Intuitionistic uncertain linguistic powered einstein aggregation operators and their application to multi-attribute group decision making
2015, Vol.5, (4):534-561, DOI:10.11948/2015042