In this manuscript, we study a nonlinear fractional-order predator-prey system while considering uncertainty in initial values. We derive the feasibility region and boundness of solution. The suggested model’s equilibrium points basic reproduction number are calculated. stability is presented. use metric fixed point theory to existence uniqueness results concerning solution model. notion UH-sta...

One may find out the application‎ ‎of mathematics in the areas of ecology‎, ‎biology‎, ‎environmental‎ ‎sciences etc‎. ‎Mathematics is particulary used in the problem of‎ ‎predator-prey known as lotka-Volterra predator-prey equations.‎ ‎Indeed‎, ‎differential equations is employed very much in many areas‎ ‎of other sciences‎. ‎However‎, ‎most of natural problems involve some‎ ‎unknown functions...

The study of interaction between predator and prey species is one the important subjects in mathematical biology. Optimal strategy control plays a vital role preserving animals from extinction. Harvesting issue for conservation biologists. In this work, we investigate bifurcation chaos two model fractional order discrete time with harvesting both species. Existence results stability conditions ...

Diet of adult pikeperch Sander lucioperca, Eurasian perch Perca fluviatilis, northern pike Esox lucius and European catfish Silurus glanis as top predators in aquatic ecosystems in Serbia was investigated during 2011, in order to understand their relationship to their prey and to investigate their food consumption, feeding and assimilation rate, cannibalism, and habitat segregation. Northern pi...

A fractional-order Leslie-Gower prey-predator-parasite system with delay is proposed in this article. The existence and uniqueness of the solutions, as well their non-negativity boundedness, are studied. Based on characteristic equations conditions stability Hopf bifurcation, local asymptotic each equilibrium point bifurcation interior investigated. Moreover, a Lyapunov function constructed to ...

In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to ob...