Abstract
In this paper, we consider an eco-epidemiological model with Holling type III functional response and a time delay representing the gestation period of the predator. In the model, it is assumed that the predator population suffers a transmissible disease. By means of Lyapunov functionals and Laselle’s invariance principle, sufficient conditions are obtained for the global stability of the endemic coexistence of the system.
This work was supported by the National Natural Science Foundation of China (No. 11371368) and the Natural Science Foundation of Hebei Province (No. A2014506015).
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Bai, H., Xu, R. (2018). Global Stability of a Delayed Eco-Epidemiological Model with Holling Type III Functional Response. In: Kar, S., Maulik, U., Li, X. (eds) Operations Research and Optimization. FOTA 2016. Springer Proceedings in Mathematics & Statistics, vol 225. Springer, Singapore. https://doi.org/10.1007/978-981-10-7814-9_9
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