[PDF] Top 20 Stability analysis of prey predator system with Holling type functional response and prey refuge

... of prey and predator populations at time t, respec- tively, and they are all positive ...of prey population; K is the prey environmental carrying capacity; c is the efficiency with which ... See full document

... a predator-prey ...for system (.) under some suitable conditions, that is, the prey and the predator can coexist for a long period of time under some ... See full document

... Leslie-Gower prey-predator model, predator equation is taken logistic growth with carry- ing capacity proportional to the prey ...This type of situation are applicable in ecology [11, ... See full document

... the prey-predator system consisting of immature and mature individuals were an- alyzed in ...stage-structured prey-predator model with impulsive stocking on prey and continuous ... 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

... In this section, we assume that all the coefficients of system (1.3) are positive sequences with common periodic ω, where ω is a fixed positive integer, stands for the prescribed common period of the parameters in ... See full document

... stage-structured predator-prey system with Holling-II functional response and two ...the system is ...the stability are determined by using the normal form method ... See full document

... of prey that cause change of spatial locations such as switch of habitat usage have been observed in experiments ([45]) and therefore should be examined in ...usion-advection predator-prey model in ... 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 when two species interact with each other in the same ...discrete predator-prey system with the logistic growth in prey and the functional response is ...local ... See full document

... In predator-prey systems, many authors have considered the Allee effect in prey ...with refuge and without refuge are ...linear functional re- ...and type III ... See full document

... rium point in the phase diagram, and we draw the bifurcation diagram under the strong and weak Allee effect. It is worth noting that there are some differences between the spe- cial case of bistability and the Allee effect ... See full document

... detailed analysis on the stability and Hopf bifurcation of the equilibria is carried out in Section ...the system by computing different orbits of the fractional ... See full document

... Hassell-Varley type functional response ...of predator-prey models with Beddington-DeAngelis functional response ...asymptotic stability of equilibria of delayed ... See full document

... In Theorem 2.3, the global stability of the positive constant solution implies the non- existence of non-constant positive solution of (1.2) regardless of diffusions. Several non- existence results of non-constant ... See full document

... Leslie-Gower predator-prey model with Holling Type-IV functional response and with disease in prey population in presence of predator harvesting is ...the ... See full document

... existence, stability and instability of the equilibria of the model are given in Section ...global stability of the unique positive equilibrium are ob- ... See full document

... Gauss-type predator– prey model with Allee effect and Holling type-III functional ...local stability of the three types of equilibrium ...between prey and ... See full document

... 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 ...of stability, bifurcate into var- ious periodic ... See full document

... discrete predator–prey system with modified Holling–Tanner functional ...theoretical analysis, but also exhibit complex dynamical behaviors and biological ...the system ... See full document