Qualitative Behavior of a Discrete‐Time Predator–Prey Model With Holling‐Type III Functional Response and Gompertz Growth of Prey

This paper investigates the bifurcation dynamics of a discrete‐time predator–prey model with a Holling‐type III functional response and Gompertz growth for the prey. Using the forward Euler discretization, we analyze the local stability of fixed points and explore the occurrence of flip and Neimark–Sacker bifurcations. Additionally, we employ state feedback control to regulate chaotic behavior. Numerical simulations illustrate the impact of parameter variations on system dynamics, complementing the theoretical analysis. This study provides insights into the complex behaviors that arise in discrete predator–prey interactions.

• Publication year

  2025

• Venue

  Mathematical methods in the applied sciences

• Publication date

  2025-06-25

• Fields of study

  Not labeled

• Identifiers
  DOI 10.1002/mma.11087
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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