Abstract
By establishing a predator-prey automatic SIRS model with saturation infectious force and Holling II functions, we have obtained the conditions of the existence of various equilibriums. Furthermore, the global stability or the local stability of equilibrium has been proved. In this paper, we have obtained the existence and the asymptotical stability of the positive equilibriums when the saturation infectious force is large enough.
This work is supported by the science and technology project of Fujian’s Education Department #JBO8194.
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Chen, X., Zhu, W., Tang, X. (2011). Stable Analysis of a Predator–Prey SIRS Model with Saturation Infectious Force. In: Zeng, D. (eds) Applied Informatics and Communication. ICAIC 2011. Communications in Computer and Information Science, vol 225. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23220-6_57
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DOI: https://doi.org/10.1007/978-3-642-23220-6_57
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