Dynamics of an epidemic system with prey herd behavior and alternative resource to predator. (English) Zbl 1509.37127
Summary: A heterogeneous predator-prey system with herd behavior of prey is proposed. The predator individuals are affected by a disease. The predator is provided with alternative resources for long time survival. The objective of this study is to study the role of the alternative resource for controlling disease in a heterogeneous system. The dynamical behavior of the system is investigated throughout the theoretical studies and the results are verified using numerical simulations. The system is locally, as well as globally, stable under certain conditions. Also, the system undergoes Hopf bifurcation at a critical level of infection. The obtained results show that a disease-free system can be achieved by supplying a suitable alternative resource. The present study in an epidemic system introduces a new platform for controlling disease.
Keywords:
prey herd behavior; square root response function; infected predator; alternative resource; Hopf-bifurcationReferences:
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