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The dynamics of an eco-epidemiological model with distributed delay. (English) Zbl 1175.93022
Summary: The dynamical behavior of an eco-epidemiological model with distributed delay is studied. Sufficient conditions for the asymptotic stability of all the equilibria are obtained. We prove that there exists a threshold value of the conversion rate h beyond which the positive equilibrium bifurcates towards a periodic solution. We further analyze the orbital stability of the periodic orbits arising from bifurcation by applying Poore’s condition. Numerical simulation with some hypothetical sets of data has been done to support the analytical findings.
MSC:
93A30Mathematical modelling of systems
92D30Epidemiology
93D20Asymptotic stability of control systems
37D45Strange attractors, chaotic dynamics