The objective of this study is to investigate the complex dynamics of an eco-epidemic predator–prey system where disease is transmitted in prey species and predator population is being provided with alternative food. Holling type-II functional response is taken into consideration for interaction of predator and prey species. The half saturation constant for infected prey, the growth rate of susceptible prey and force of infection play a significant role to create complex dynamics in this predator–prey system where alternative food is present. It is seen that healthy disease-free system is possible here. The system shows some important dynamics viz. stable coexistence, Hopf bifurcation, period-doubling bifurcation and chaos. The analytical results obtained from the model are justified numerically.

中文翻译：

---

猎物疾病生态流行系统的复杂动态

本研究的目的是调查生态流行病捕食者 - 猎物系统的复杂动态，其中疾病在猎物物种中传播，并且为捕食者种群提供替代食物。Holling II 型功能反应被考虑到捕食者和猎物物种的相互作用。受感染猎物的半饱和常数、易感猎物的生长速度和感染力在这个存在替代食物的捕食者 - 猎物系统中创造复杂的动态方面发挥着重要作用。可以看出，健康的无病系统在这里是可能的。该系统显示了一些重要的动态，即。稳定共存、Hopf 分岔、倍周期分岔和混沌。从模型中获得的分析结果在数值上是合理的。