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Du, Z.J., Chen, X. and Feng, Z.S. (2014) Multiple Positive Periodic Solutions to a Predator-Prey Model Withleslie-Gower Holling-Type II Functional Response and Harvesting Terms. Discrete and Continuous Dynamical Systems S, 7, 1203-1214.
https://doi.org/10.3934/dcdss.2014.7.1203

has been cited by the following article:

• TITLE: A Seasonally Perturbed Prey-Predator Model with Smith Growth Rate

  AUTHORS: Qinggui Guo

  KEYWORDS: Smith Growth, Seasonal Perturbation, Hopf Bifurcation, Periodic Solution

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.16 No.4, April 27, 2026

  ABSTRACT: This paper investigates the dynamic behaviors of a predator-prey model with seasonal perturbations, incorporating the Smith growth pattern. First, for the unperturbed autonomous system, we conduct a detailed analysis of the existence and stability of equilibrium points, and derive the conditions under which a Hopf bifurcation occurs. Subsequently, taking into account seasonal variations in real ecosystems, we introduce a periodic perturbation by considering the prey growth rate as a time-dependent periodic function, thereby establishing a non-autonomous model. Moreover, we provide sufficient conditions for the existence of asymptotically stable periodic solutions. Numerical simulations are presented to validate the theoretical results.