ECO-EPIDEMIOLOGICAL PREY SPECIES AND COMPETITIVE PREDATOR SPECIES FOR SUSCEPTIBLE-INFECTED

Abstract

In this paper, we propose and analyze eco–epidemiological of prey–predator system. Here Singe prey population is taken as nature limited growth rate and interaction of both predator species, and predator population is taken as competitive of the infected–susceptible species. We propose positive and boundedness. We analyze the positive equilibrium point of trivial, disease–free, and interior equilibrium point with stability analysis. Stability analysis carried out theorem is called stable, asymptotically stable, unstable, saddle point. The dynamical behavior of this system of nonlinear differential equation both analytically and numerically is investigated from the point of view of stability analysis time series and phase portrait plot. Finally, conclusion of our results suggest that the prey–predator of the SI–type.