This article presents a study of Leslie–Gower predator–prey system to investigate the dynamics of disease transmission among predator species. The system includes the harvesting of infected predator. The positivity, boundedness of the solutions and permanence of the system are taken into consideration. The stability and Hopf bifurcation analyses around biologically feasible equilibria are scrutinized. The harvesting of infected predator plays a crucial role for the occurrence of limit cycle oscillations and stability around the interior equilibrium point. Our results disclose that infected predator harvesting has a considerable consequence on the eco-epidemiological system. The optimal control theory has been applied to investigate optimal strategies for controlling the infection. Analytical findings are confirmed through numerical simulations.

本文介绍了莱斯利-高尔捕食者-猎物系统的研究，以调查疾病在捕食者之间的传播动态。该系统包括收获被感染的捕食者。考虑了正解，解的有界性和系统的持久性。仔细研究了在生物学上可行的平衡附近的稳定性和Hopf分叉分析。被感染天敌的收获对于内部内部平衡点附近的极限循环振荡和稳定性的发生起着至关重要的作用。我们的研究结果表明，感染捕食者的捕食对生态流行病学系统具有重大影响。最佳控制理论已被用于研究控制感染的最佳策略。分析结果通过数值模拟得到证实。