Disease In Predator Population Research Articles

Stability and Hopf bifurcation in an eco-epidemiological system with the cost of anti-predator behaviors.

The fear effect is a powerful force in prey-predator interaction, eliciting a variety of anti-predator responses which lead to a reduction of prey growth rate. To study the impact of the fear effect on population dynamics of the eco-epidemiological system, we develop a predator-prey interaction model that incorporates infectious disease in predator population as well as the cost of anti-predator behaviors. Detailed mathematical results, including well-posedness of solutions, stability of equilibria and the occurrence of Hopf bifurcation are provided. It turns out that population density diminishes with increasing fear, and the fear effect can either destabilize the stability or induce the occurrence of periodic behavior. The theoretical results here provide a sound foundation for understanding the effect of the anti-predator behaviors on the eco-epidemiological interaction.

An Eco-Epidemic Predator–Prey Model with Allee Effect in Prey

This article describes the dynamics of a predator–prey model with disease in predator population and prey population subject to Allee effect. The positivity and boundedness of the solutions of the system have been determined. The existence of equilibria of the system and the stability of those equilibria are analyzed when Allee effect is present. The main objective of this study is to investigate the impact of Allee effect and it is observed that the system experiences Hopf bifurcation and chaos due to Allee effect. The results obtained from the model may be useful for analyzing the real-world ecological and eco-epidemiological systems.

A cannibalistic eco-epidemiological model with disease in predator population

In this present article, we propose and analyze a cannibalistic predator–prey model with disease in the predator population. We consider two important factors for the dynamics of predator population. The first one is governed through cannibalistic interaction, and the second one is governed through the disease in the predator population via cannibalism. The local stability analysis of the model system around the biologically feasible equilibria are investigated. We perform global dynamics of the model using Lyapunov functions. We analyze and compare the community structure of the system in terms of ecological and disease basic reproduction numbers. The existence of Hopf bifurcation around the interior steady state is investigated. We also derive the sufficient conditions for the permanence and impermanence of the system. The study reveals that the cannibalism acts as a self-regulatory mechanism and controls the disease transmission among the predators by stabilizing the predator–prey oscillations.

Proper Predation and Disease Transmission in Predator Population Stabilize Predator–Prey Oscillations

Parasites and pathogens has great impact upon the predator–prey system. Disease in ecological system can not be ignored and disease in prey species is well-studied. But disease in predator population paid little attention to the literature. Present study explores a predator–prey model with disease circulating in predator species only. The ecological as well as disease basic reproduction numbers are derived from local stability of different equilibrium points. We have also explained the biological significance of these numbers and studied the community structure of model system by these numbers. The conditions for Hopf bifurcation and persistence of the system has been analyzed under some conditions. Our numerical results reveal that disease introduction in predator species stabilizes the predator–prey species. We have also observed that proper predation stabilizes the predator–prey oscillations.

Disease-Induced Chaotic Oscillations and its Possible Control in a Predator–Prey System with Disease in Predator

The effect of parasites and pathogens in prey populations received a lot of attention but disease in predator population has been studied comparatively little in literature. In the present paper we consider a predator–prey model with disease in predator population. We analyze the local stability of model system around the equilibria. We derive the ecological as well as disease basic reproduction numbers and study the community structure of model system by these numbers. We work out the conditions of Hopf bifurcation and persistence of system. Our numerical results reveals that system shows chaotic dynamics for increasing the infection in predator. It is also observe that half saturation constant is responsible for occurrence and control of chaos.

Cannibalism may control disease in predator population: result drawn from a model based study

In the present study, we propose and analyze a predator–prey system with disease in the predator population. To understand the role of cannibalism, we modify the model considering predator population is of cannibalistic type. Local and global stability around the biologically feasible equilibria are studied. The conditions for the persistence of the system are worked out. We also analyze and compare the community structure of the model systems with the help of ecological and disease basic reproduction numbers. Finally, through numerical simulation, we observe that inclusion of cannibalism in predator population may control the disease transmission in the susceptible predator population. Copyright © 2014 John Wiley & Sons, Ltd.