[PDF] Top 20 Stability analysis of discrete-time prey-predator system with predator dependent on alternative resources

... The prey-predator model is an area of great interest for many ecologists and ...the prey-predator system in ecology and contributed to the growth of continuous models for large size ... See full document

... Conclusion In this paper, we considered a three-stage-structured prey-predator system with discrete and continuous time delays and analyzed the stability of the boundary and positive equ[r] ... See full document

... Leslie-Gower prey-predator model [, ], we propose a discrete-time prey-predator system with predator partially dependent on prey [] and ... See full document

... a time-delayed prey–predator system with θ -logistic ...that stability switching occurs for the interior equilibrium of the model ... See full document

... of time, the discrete-time model would indeed be more suitable and re- alistic than the continuous-time model ...of discrete-time models can be obtained more easily, and much ... See full document

... of prey- predator ecosystem where the growth of prey is not directly proportional to the existing prey population and it is described by a Holling type II ...The stability ... See full document

... at time t − τ and survive at time t (with the immature death rate γ), and τ represents the transformation of immatures to matures; α > 0 is the birth rate of the immature prey population; γ > 0 ... See full document

... the stability properties of the system (1) by graphing time plots for x(n), y(n), z(n) and phase ...the analysis presented in the following ...the system. The local stability ... See full document

... the stability analysis of population models. The system with Allee effect shows either destabilization [11] or stabilization ...local stability of a positive fixed point may be changed from ... See full document

... investigate discrete-time predator-prey model, especially when the size of population is rarely small or the population has no over- lapping ... See full document

... response predator-prey model with a threshold harvesting ...the system be- fore and after the ...global analysis of the model as well as boundedness and permanence properties are examined ... See full document

... a discrete-time predator–prey model with modified Leslie–Gower and Holling’s type II schemes is investigated on the basis of the normal form method as well as bifurcation and chaos ...and ... See full document

... a discrete-time predator-prey ...and stability of the fixed points. Secondly, we show that the system undergoes a flip bifurcation and a Neimark-Sacker bifurcation by using center ... See full document

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

... During the last decades, many scholars([2]-[9]) investigated the influence of Allee effect on the stability analysis of equilibrium points. As was pointed out by H ¨ useyin Merdan [2], the Allee effect may ... See full document

... This paper is aimed at obtaining, by developing the analytical technique of [–], two sets of sufficient conditions which guarantee the permanence of the system (.). One set is delay dependent, while the ... See full document

... long time on this ...a predator-prey model where the prey is susceptible to Allee ...The predator has a modified logistic growth and at the same time it consumes the prey ... See full document

... juvenile prey to adult prey. The capturing rates of adult predator for juvenile and adult prey respectively are the constants a and ...adult prey to predator are denoted by k 1 ... See full document

... The organization of this paper is as follows. In Section 2, we discuss the existence and stability of positive equilibrium point of system (2). The influence of predator mutual inter- ference is ... See full document

... On the other hand, in view of the periodic variation of the environment (e.g., food supplies, mating habits, seasonal affects of weather, etc.), it would be of interest to study the global existence and global ... See full document