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[HTML][HTML] Stability and bifurcation analysis of a discrete predator-prey system of Ricker type with refuge effect
The refuge effect is critical in ecosystems for stabilizing predator-prey interactions. The
purpose of this research was to investigate the complexities of a discrete-time predator-prey …
purpose of this research was to investigate the complexities of a discrete-time predator-prey …
Stability, bifurcation and chaos control of a discretized Leslie prey-predator model
For a variety of purposes, discrete-time models are superior to continuous-time models.
Many techniques are introduced to discretize continuous-time models. In this paper, a non …
Many techniques are introduced to discretize continuous-time models. In this paper, a non …
Complex Dynamics and Chaos Control of a Discrete‐Time Predator‐Prey Model
The objective of this study is to investigate the complexity of a discrete predator‐prey system.
The discretization is achieved using the piecewise constant argument method. The …
The discretization is achieved using the piecewise constant argument method. The …
Theoretical and numerical bifurcation analysis of a discrete predator–prey system of Ricker type with weak Allee effect
This study aims to explore the complexity of a discrete-time predator–prey system with a
weak Allee effect. The existence and stability of fixed points, as well as period-doubling and …
weak Allee effect. The existence and stability of fixed points, as well as period-doubling and …
Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect
The current investigation focuses on the dynamics of a discrete-time predator-prey system
with additive Allee effect. Discretization is accomplished by the use of a piecewise constant …
with additive Allee effect. Discretization is accomplished by the use of a piecewise constant …
Stability analysis and neimark-sacker bifurcation of a nonstandard finite difference scheme for lotka-volterra prey-predator model
Abstract To discretize the Lotka-Volterra prey-predator model, we adopted a dynamically
consistent nonstandard finite difference scheme. The existence of fixed points and their …
consistent nonstandard finite difference scheme. The existence of fixed points and their …
Complex dynamics of a discrete-time model with prey refuge and Holling type-II functional response
The chaotic dynamics of a discrete-time predator-prey model with prey refuge and Holling
type-II functional response are investigated. We investigate the system's existence and local …
type-II functional response are investigated. We investigate the system's existence and local …
Dynamic complexity of a discrete predator-prey model with prey refuge and herd behavior
This paper examines a discrete predator-prey model's complex dynamics. Using bifurcation
and center manifold theory, we study period-doubling and Neimark-Sacker bifurcations at …
and center manifold theory, we study period-doubling and Neimark-Sacker bifurcations at …
[PDF][PDF] Stability and bifurcation analysis of a discrete-time plant-herbivore model with harvesting effect
The dynamics of plant-herbivore interactions are essential for understanding ecosystem
stability and resilience. This article investigated the effects of incorporating a harvesting …
stability and resilience. This article investigated the effects of incorporating a harvesting …
An Investigation of the Discrete-Time Model Subject to Immigration, Harvesting, and Allee Effect
This paper deals with the dynamic behaviors of a discrete-time fractional-order predator–
prey model in the presence of both the Allee effect and immigration on the prey population …
prey model in the presence of both the Allee effect and immigration on the prey population …