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Stability and bifurcation analysis of a discrete-time predator-prey model with strong Allee effect
(Taylor & Francis, 2020-03-16)
In this paper, we investigate the impact of Allee effect on the stability of a discrete-time predator-prey model with a non-monotonic functional response. The proposed model supports the coexistence of two steady states, ...
Embedding and global stability in periodic 2-dimensional maps of mixed monotonicity
(Elsevier, 2022-02)
In this paper, we consider nonautonomous second order difference equations of the form xn+1 = F(n, xn, xn−1), where F is p-periodic in its first component, non-decreasing in its second component and non-increasing in its ...
The role of vigilance on a discrete-time predator-prey model
(American Institute of Mathematical Sciences, 2022)
The change of behaviors of prey in the form of vigilance significantly affects the dynamics of a predator-prey system. In this paper, we consider a discrete-time predator-prey model, where the vigilance of prey acts as a ...
The effect of maps permutation on the global attractor of a periodic Beverton-Holt model
(Elsevier, 2020-04-01)
Consider a p-periodic difference equation xn+1 = fn(xn) with a global attractor. How does a permutation [fσ(p−1), . . . , fσ(1), fσ(0)] of the maps affect the global attractor? In this paper, we limit this general question ...