Abstract
This paper deals with predator-prey-pathogen interaction where predator influences the transmission rate of the infection in its prey. It is assumed that predator consumes infected prey only. The main results address the existence of interior equilibrium point and its stability. Also we derive the condition for persistence of the system. Bifurcation at the coexistence equilibrium point is established. Lastly, the condition for non-existence of closed orbits is found. Some numerical simulations illustrate the obtained results.
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The authors are grateful to the anonymous reviewers for their helpful comments and suggestions for improving the paper.
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Maji, C., Kesh, D. & Mukherjee, D. The Effect of Predator Density Dependent Transmission Rate in an Eco-Epidemic Model. Differ Equ Dyn Syst 28, 479–493 (2020). https://doi.org/10.1007/s12591-016-0342-6
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DOI: https://doi.org/10.1007/s12591-016-0342-6