In this paper, we introduce fractional order into an ecoepidemiological model, where predator consumes disproportionately large number of infected preys following type 2 response function. We prove different mathematical results like existence, uniqueness, nonnegativity, and boundedness the solutions system. also local global stability equilibrium points The are illustrated with several examples.

In this paper we present analytical solution of a fractional order predator-prey model, where prey grows logistically and predation occurs following type II response function, by homotopy perturbation method. Numerical solutions are presented to illustrate different particular cases. Our computational results show that accurate may be obtained with few iterations.

Recently, the dynamical behaviors of a fractional order three species food chain model was studied by Alidousti and Ghahfarokhi (Nonlinear Dynamics, doi: org/10

In this paper, an attempt is made to understand the dynamics of a fractional order three species Leslie-Gower predator prey food chain model with simplified Holling type IV functional response by considering derivative in Caputo Sense. First, we prove different mathematical results like existence, uniqueness, non-negativity and boundedness solutions dynamical system. The dissipativeness solution FDE system discussed. Further, investigate Local stability criteria all feasible equilibrium...

In this paper, an attempt is made to understand the dynamics of a three-dimensional discrete fractional-order eco-epidemiological model with Holling type II functional response.We first discretize predator-prey-parasite system piecewise constant arguments and then explore dynamics.Analytical conditions for local stability different fixed points have been determined using Jury criterion.Several examples are given substantiate analytical results.Our analysis shows that fractional order...

In this paper, we introduce fractional order into an ecoepidemiological model, where predator consumes disproportionately large number of infected preys following type II response function. We prove different mathematical results like existence, uniqueness, non-negativity and boundedness the solutions system. also local global stability equilibrium points The are illustrated with several examples.

Recently, the dynamical behaviors of a fractional order three species food chain model was studied by Alidousti and Ghahfarokhi ({\it Nonlinear Dynamics, doi: org/10.1007/s11071-018-4663-6, 2018}). They proved both local global asymptotic stability all equilibrium points except interior one. This work extends their gives proof analysis point. Numerical examples are also provided to substantiate analytical findings.

This paper is focused on local and global stability of a fractional-order predator-prey model with habitat complexity constructed in the Caputo sense corresponding discrete system. Mathematical results like positivity boundedness solutions presented. Conditions for different equilibrium points are proved. It shown that there may exist fractional-order-dependent instability through Hopf bifurcation both systems. Dynamics more complex depends step length fractional-order. shows bifurcation,...

In this paper we present analytical solution of a fractional order predator-prey model, where prey grows logistically and predation occurs following type II response function, by homotopy perturbation method. Numerical solutions are presented to illustrate different particular cases. Our computational results show that accurate may be obtained with few iterations.

In this paper, an attempt is made to understand the dynamics of a three-dimensional discrete fractional-order eco-epidemiological model with Holling type II functional response. We first discretize predator-prey-parasite system piecewise constant arguments and then explore dynamics. Analytical conditions for local stability different fixed points have been determined using Jury criterion. Several examples are given substantiate analytical results. Our analysis shows that fractional order...