Work

Finite Time Stability and Optimal Control of a Stochastic Reaction Diffusion Echinococcosis Model With Impulse and Time-varying Delay

Year: 2025

Type: article

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 is verified by numerical simulations.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240021

Authors: Bin Liu, Jing Hu, Libo Liu

Institutions: Ningxia University, Yinchuan University of Science and Technology

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G1368237953