| Volume 15, Number 1, 2025, Pages - DOI：10.11948/JAAC-2024-0021 |
| Finite time stability and optimal control of a stochastic reaction diffusion echinococcosis model with impulse and time-varying delay |
| Bin Liu,Jing Hu,Libo LIu |
| Keywords:Finite-time stability Lyapunov functional Optimal control Time-varying delay |
| Abstract: |
| This paper presents a model for echinococcosis which incorporates stochastic reaction diffusion, impulse, and time-varying delay. First, the existence and uniqueness of global positive solution is proved through the construction of a Lyapunov function. Then, by applying the bounded impulse interval method, several sufficient conditions for finite time stability(FTS) are obtained. Finally, from the angle of cost-benefit, the issue of optimal control of echinococcosis is presented with the aim of minimizing infection and controlling costs. The validity of the analytical results are verified by numerical simulations. |
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