Abstract In this paper, a non-singular SIR model with the Mittag-Leffler law is proposed. The nonlinear Beddington-DeAngelis infection rate and Holling type II treatment are used. qualitative properties of discussed in detail. local global stability analyzed. Moreover, some conditions developed to guarantee asymptotic stability. Finally, numerical simulations provided support theoretical result...

The most important fact in the field of theoretical ecology and evolutionary biology is strategy predation for predators avoidance prey from predator attack. A lot experimental works suggest that reduction depends on both direct fear predation. We explore impact effect mutual interference among into a three-species food chain model. In this manuscript, we have considered tri-topic model with Be...

This paper deals with a robust stage structured predator–prey model with Beddington– DeAngelis-type functional response. The proposed mathematical model consists of a system of three nonlinear ordinary differential equations to stimulate the interactions between prey population, juvenile predators and adult predator population. The positivity, boundedness and the conditions for uniform persiste...

Previous experimental and theoretical studies suggest that predator’s interference in predator-prey relationship provides better descriptions of predator’s feeding over a range of predator-prey abundances. Also biological delays and environmental stochasticity play an important role to describe the system and its values. In this present study, I consider a Gaussian white-noise induced stochasti...