[PDF] Top 20 Dynamics of a diffusive Leslie–Gower predator–prey system with ratio dependent Holling III functional response

... introduced system (1.2) and established the stability of the positive equilibrium and uni- form persistence of the solution semiflows. Shi et al. in [27] considered the existence of the Turing–Hopf bifurcation ... See full document

... The rest of the paper is organized as follows. In Sect. 2, we give the existence and unique- ness of global positive solution and the solution is stochastically ultimately bounded. Moreover, we obtain that stochastic ... See full document

... the dynamics of biological models are very ...The predator–prey model is a very important population dynamics ...the functional response, based on ratio, age, or gender ... See full document

... the dynamics studied are locally, globally, and asymptotically ...in Leslie–Gower ...predator’s functional response to prey or in the negative feedback of predator ...the ... See full document

... in predator-prey ...a predator-prey system with Holling type-II functional response and a prey ...to predator extinction and prey stabilizing ... See full document

... population system without intra-specific competition incorporating white and telegraph noise, and mainly researched stochastic permanence and ...stochastic predator-prey model with Markovian switching ... See full document

... their prey. One of the important factors which affect the dynamics of biological and mathematical models is the functional ...Beddington-DeAngelis functional response which is first ... See full document

... the dynamics of a modified Leslie–Gower model with nonlinear harvesting and Holling type-IV functional ...model system using qualitative analysis, bifurcation theory and singular ... See full document

... Already, many authors [13,14,17-23] have argued that the discrete time models gov- erned by difference equations are more appropriate than the continuous ones when the populations have non-overlapping generations. Based ... See full document

... L-G predator-prey model proposed in the form of the model 2 which has Holling type-IV FR and disease term in prey in the presence of predator harvesting, is analyzed in this ...proposed ... See full document

... As we all know that continuous models can excellently show the dynamic behaviors of those populations who have a long life cycle, overlapping generations, and large quantity; Also, the discrete-time models governed by ... See full document

... The following theorem summarized the above discussions. Note that the theorem, nevertheless, does not reveal under which conditions in harvested model an interior equilibrium appear. We rely on numerical computation to ... 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 instability ... See full document

... incorporating a prey refuge under sparse effect is considered. Through qualitative analysis of the model, at least two limit cycles exist around the positive equilibrium point with the result of focus value, the ... See full document

... sufficient conditions for the boundedness, existence of a positively invariant attracting set and global stability of coexisting interior equilibrium. In [11] the authors con- sidered the dynamical behavior of ... See full document

... The main shortcoming of (.) is that in the case of severe scarcity, y can switch over to other populations but its growth will be limited by the fact that its most favorite food x is not available in abundance. In ... See full document

... as Holling type functional response, where h is the handling time of predators, λ is the attack efficiency of predator to prey population, the exponent n describes the shape of the ... See full document

... of prey by the predator throughout its past history governs the present birth rate of the ...delayed ratio-dependent Holling-Tanner predator-prey ... See full document

... the prey are incorporated, they establish conditions for the permanence of the populations and sufficient conditions under which a positive equilibrium of the above system is globally stable; Zhang and Luo ... See full document

... them, predator-prey models attracted more and more attention of biologists and ...of predator-prey models in the ...the predator-prey system with the Bedding- ... See full document