吉林大学学报（理学版）2025，Vol.63Issue(3)：716-732,17.DOI:10.13413/j.cnki.jdxblxb.2024328
一类具有恢复率的生态流行病学模型及其最优控制
An Ecoepidemiological Model with Recovery Rate and Its Optimal Control
摘要
Abstract
Firstly,we established and discussed a four-dimensional ecoepidemiological model in which both prey and predator populations were infected,and the infected population had self-recovery ability.Secondly,we established the corresponding optimal control model and used Pontryagin's maximum principle to calculate its optimal control strategy.Finally,we investigated the dynamic behaviors of the model and its optimal control strategy by using numerical analysis.The results show that the recovery rate of diseases has a significant impact on the dynamic behavior of the system.关键词
捕食系统/生态流行病/恢复率/定性分析/最优控制Key words
predator-prey system/ecological epidemics/recovery rate/qualitative analysis/optimal control分类
数理科学引用本文复制引用
王婷,杜润梅,那杨,郝丽娜..一类具有恢复率的生态流行病学模型及其最优控制[J].吉林大学学报（理学版）,2025,63(3):716-732,17.基金项目
国家自然科学基金(批准号:12071067). （批准号:12071067）
