[PDF] Top 20 Dynamics of a predator–prey system with three species

... population dynamics, predator–prey systems have been widely studied due to their importance as well as plentiful dynamical ...the system involves only one predator and one prey, ... See full document

... In this paper, the effect of the two different delays on the dynamics of a three-species ratio-dependent predator-prey food-chain model is considered. By regarding the delay as the ... See full document

... complex dynamics of a discrete predator–prey system with a strong Allee effect on the prey and a ratio-dependent functional response, which is the discrete version of the continuous ... See full document

... Lotka-Volterra predator-prey model [, ] is one of the most important population ...other predator-prey models of vari- ous types that have been extensively investigated, and some of the ... See full document

... a predator kills and eats its ...between predator and prey is the most basic and is also ubiquitous in hu- man ...various predator–prey models have been studied, such as the stability, ... See full document

... that system (.) has a unique positive homogeneous equilibrium E(., .), which is asymptotically stable (see Figure ). The system undergoes Hopf bifurcation at the equilibrium E ∗ (see Figure ). ... See full document

... a predator-prey system with Monod-Haldane type functional ...the system to be extinct are given by using the Floquet theory of impulsive differential equation and small amplitude perturbation ... See full document

... for prey-predator was developed inde- pendently by Aefred James Lotka [19] and Vito Volterra ...a predator in an ecological system depends strongly on functional ...a ... See full document

... population dynamics, distribution and con- servation [–] and attracts much attention in ...In predator-prey systems, many authors have considered the Allee effect in prey ...a ... See full document

... biological species have reached a new milestone and involvement of mathematicians in it opened a new door to a discipline called mathematical biology[23, 22, ...have prey dependent interaction and some have ... See full document

... Population Dynamics has been a prime branch of theoretical ...two species in an ecosystem, a predator and a ...realistic prey-predator models were introduced by Holling [7] suggesting ... See full document

... on predator-prey system, a disease transmission model, incorporating provisions for harvesting of prey have been discussed and ...infected prey, the disease is spreading to susceptible ... See full document

... infected prey is much and no reproduction in infected ...where predator could only survive on the prey if some of the prey were more vulnerable due to ...a predator-prey ... See full document

... In this section, we provide numerical examples and simulations which help us to analyse the stability properties of the system (1) by graphing time plots for x(n), y(n), z(n) and phase diagrams. We consider ranges ... See full document

... several predator prey systems where there is group defence on the part of the prey and illustrated the warning of ...consider predator prey system, which is prone to the warning ... See full document

... a three- species Predator-Prey ...Zhanp predator-prey system with impulsive perturbations on predators, Liu ZJ[13] researched existence of periodic solutions for a delayed ... See full document

... population dynamics which can occur in a system when two species interact with each other in the same ...the dynamics of a ratio-dependent discrete predator-prey system ... See full document

... ecological predator – prey model and the oscillations in their ...with three and more species to understand complex dynamical behaviors of ecological systems in the real ...discrete ... See full document

... the dynamics of a two patchy predator-prey ...the dynamics of the diffusion model computer simulations with MATLAB have been executed to study the effects of various parameters on the ... See full document

... by predator-prey models have long been the topic of research interest of many biomathematical scholars, and there have been vast studies to investigate the dynamics of predator-prey ... See full document