Complex dynamics of an eco-epidemiological model with different competition coefficients and weak Allee in the predator

Md. Saifuddin, Santanu Biswas, Sudip Samanta, Susmita Sarkar and Joydev Chattopadhyay

Chaos, Solitons & Fractals, 2016, vol. 91, issue C, 270-285

Abstract: The paper explores an eco-epidemiological model with weak Allee in predator, and the disease in the prey population. We consider a predator-prey model with type II functional response. The curiosity of this paper is to consider different competition coefficients within the prey population, which leads to the emergent carrying capacity. We perform the local and global stability analysis of the equilibrium points and the Hopf bifurcation analysis around the endemic equilibrium point. Further we pay attention to the chaotic dynamics which is produced by disease. Our numerical simulations reveal that the three species eco-epidemiological system without weak-Allee induced chaos from stable focus for increasing the force of infection, whereas in the presence of the weak-Allee effect, it exhibits stable solution. We conclude that chaotic dynamics can be controlled by the Allee parameter as well as the competition coefficients. We apply basic tools of non-linear dynamics such as Poincare section and maximum Lyapunov exponent to identify chaotic behavior of the system.

Keywords: Eco-epidemiological system; Emergent carrying capacity; Weak Allee; Chaos; Bifurcation analysis; Lyapunov exponent (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:91:y:2016:i:c:p:270-285

DOI: 10.1016/j.chaos.2016.06.009

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