Complex dynamics of a nonlinear discrete predator
In this article, we study a discrete predator-prey system with Holling type II functional response and Allee e ect. First, the number of xed points of the system , local stability, and global stability is discussed.
In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points of the system , local stability, and global ...
Complex dynamics and chaos control in a nonlinear discrete prey ...
The dynamics of prey - predator interactions are often modeled using differential or difference equations. In this paper, we investigate the dynamical behavior of a two-dimensional discrete prey - predator system .
Abstract We investigate the nonlinear dynamics of a discrete -time predator-prey model governed by a Holling Type-II functional response. Starting from a biologically motivated continuous-time system , we derive its discrete analogue via the explicit Euler method and employ nondimensionalization to reduce the number of parameters.
PDF Dynamics of a nonlinear discrete predator
In this section, we draw the bifurcation diagrams, phase portraits, solution of the figures and maximum Lyapunov exponents for system (1.2) to verify the above theoretical analysis and show the new interesting complex dynamical behaviors and the stability of the predator-prey system at the equilibrium point by using numerical simulations.
This work investigates the nonlinear dynamics of a discrete predator-prey system with prey cannibalism and group defense. The model combines Smith-type growth with a cannibalistic term for prey , while predators follow a Monod-Haldane response.
Complex Dynamics and Chaos Control in a Nonlinear Discrete Prey ...
The dynamics of prey - predator interactions are often modeled using differential or difference equations. In this paper, we investigate the dynamical behavior of a two-dimensional discrete prey ...
We study a discrete -time predator-prey system in which the prey experiences density-dependent growth, predation pressure, and a saturation-type nonlinear harvesting term. The discrete -time setting is natural for populations with seasonal/nonoverlapping generations and for harvesting policies implemented at discrete monitoring intervals. We establish positivity and axis invariance, derive all ...
Bifurcation Analysis, Chaos Control and Complex Dynamics of a Discrete ...
This research advances the understanding of non-linear predator-prey interactions, bifurcations, and chaotic transitions in isolated and networked systems while demonstrating effective strategies for controlling instability in ecological dynamics .
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Abstract The complex dynamics of a nonlinear discretized predator-prey model with the nonlinear Allee effect in prey and both populations are investigated. First, the rigorous results are derived from the existence and stability of the fixed points of the model.