[PDF] Top 20 A delayed Holling type III functional response predator prey system with impulsive perturbation on the prey

... dynamics system describes the current state of the population not only related to the current state but also related to the state of the population in the ...time delayed population systems (see ... See full document

... In this paper, we explore a stochastic non-autonomous one-predator–two-prey system with Beddington–DeAngelis functional response and impulsive perturbations. First, by using ... 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 ... See full document

... semi-ratio-dependent predator-prey system with Holling type IV functional response and time delay is ...nonautonomous system is permanent and globally attractive ... See full document

... between prey and predator has long been and will continue to be a dominant theme in ecology due to its universal importance and ...the predator-prey is functional response, ...of ... See full document

... considered system by introducing a new lemma and applying the standard comparison ...one type of the predation system, the food-chain system are more realistic and complex than the ... See full document

... nature, predator–prey relationship plays a significant role in ecology and mathematical ...predator’s functional responses, which is a key component of a predator– prey ...a ... See full document

... autonomous system, sufficient conditions for globally positive solution and stochastic permanence are ...periodic system, we obtain conditions for the existence of a nontrivial positive periodic ... See full document

... a system has a pair of complex conjugate eigenvalues of the Jacobian matrix at an equilibrium point and when the stability of the equilibrium point changes from stable to unstable as a bifurcation parameter ... See full document

... the predator and prey abruptly experience a change of ...impulses. Impulsive methods have been applied in almost ev- ery field of the applied ...IPM predator-prey model concerning ... See full document

... This article is organized as follows. Basic properties such as the existence, stability, and instability of the equilibria of the model and the boundedness of the solutions of the sys- tem (.) with positive initial ... See full document

... of prey refuge played an important role in determining the dynam- ical consequences of predator-prey systems [, , , , , , ...of prey refuge into the considered predation system ... See full document

... years, predator-prey systems which model some biological phenomena and relationship between predators and preys in the real world play a crucial role in math- ...for impulsive Gause-type ... See full document

... A harvested predator-prey system with Holling type III functional response is considered. By applying qualitative theory of differential equations, we show the ... See full document

... discrete predator–prey system with modified Holling–Tanner functional ...the system into the locally stable ...the system producing far richer ...of prey is high, ... See full document

... lation for the positive fixed point of system (), the Neimark-Sacker bifurcation emerges from the fixed point (, ) at r = . From Figure (a) and (b), we observe that the fixed point of map () is stable for r ... See full document

... web system with ratio-dependent functional response is proposed and ...coupled system of first order non-linear difference ...the system are ... See full document

... how prey abundances change in each of these areas throughout the year but, because abundance surveys are rarely carried out more frequently than annually, it is unlikely that this ideal level of synchronicity with ... See full document

... In this paper, we revisit the Holling-Tanner system with ratio-dependence, which was pro- posed by Liang and Pan[1]. By developing some new analysis technique and using the new method, we obtain the ... See full document

... interacting prey-predator ...between predator and prey is analyzed [1–24]. The classic predator-prey model is the Lotka–Volterra model, which was independently proposed by Lotka ... See full document