Bazykin's predator-prey population model is considered to represent the exchange stability condition of growth. The existence hydra effect and, at same time, analyzing its influence on divides species into a stage structure, namely, prey, immature predators, and mature predators. growth three has own characteristics. This research revealed that Holling type II intraspecific predatory function r...

Escape enables prey to avoid an approaching predator. The escape decision-making process has traditionally been interpreted using theoretical models that consider ultimate explanations based on the cost/benefit paradigm. Ultimate approaches, however, suffer from inseparable extra-assumptions due to an inability to accurately parameterize the model's variables and their interactive relationships...

This article studies the effects of adaptive changes in predator and/or prey activities on the Lotka-Volterra predator-prey population dynamics. The model assumes the classical foraging-predation risk trade-offs: increased activity increases population growth rate, but it also increases mortality rate. The model considers three scenarios: prey only are adaptive, predators only are adaptive, and...

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...

This paper concerns with a new delayed predator–prey model with stage structure on prey, in which the immature prey and the mature prey are preyed by predator and the delay is the length of the immature stage. Mathematical analysis of the model equations is given with regard to invariance of non-negativity, boundedness of solutions, permanence and global stability and nature of equilibria. Our ...

here, a predator-prey model with hassell-varley type functional responses is studied. some sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using comparison theorem and constructing a suitable lyapunov functional. moreover, an example is illustrated to verify the results by simulation.

In this study, we implement a Nonstandard Finite Difference (NSFD) scheme for predator-prey model involving cannibalism and refuge in predator. The which is considered as discrete dynamical system analyzed. performed analysis includes the determination of equilibrium point its local stability. has four points, namely origin, prey extinction point, predator coexistence have exactly same form exi...