Positive fixed point of the model (6) is categorized in (a) ma,r,βa space and (b) βa,ma space with r=3.60,αa=3.5,δa=0.25.

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Stability regions of fixed points for model (6) with αa=3.5,βa=4.5,δa=0.25.

Positive fixed point of the model (6) is categorized in (a) ma,r,βa...

The phase diagram for altering the input of ma.

Visualization of NS bifurcation, MLEs, and FDs of species for changing...

Dynamics and Control of a Discrete Predator–Prey Model with Prey Refuge: Holling Type I Functional Response

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Full-text available

Nov 2023

Sarker Md. Sohel Rana
Md. Jasim Uddin

In this study, we examine the dynamics of a discrete-time predator–prey system with prey refuge. We discuss the stability prerequisite for effective fixed points. The existence criteria for period-doubling (PD) bifurcation and Neimark–Sacker (N–S) bifurcation are derived from the center manifold theorem and bifurcation theory. Examples of numerical...