Work

Dynamics of Predator-Prey Model with Fear Factor and Impulsive Nonlinear Effects

Year: 2025

Type: article

Abstract: In this article, we establish a predator–prey model with fear factor and impulsive nonlinear effects. The globally asymptotically stable conditions for the pest extinction periodic solution and the permanence condition of the formulated model are derived using Floquet theory and the comparison theorem of the impulsive differential equations. Simulations confirm the correctness of the theoretical results obtained in this paper and reveal the complex dynamics of the investigated model. Our results may assist pest control experts in determining the appropriate impulsive control period and release quantity of natural enemies for more effective pest management.

Source: Axioms

DOI: 10.3390/axioms14060407

Authors: Jianjun Jiao, Yunpeng Xiao, Yumei Zhou

Institutions: Guizhou University of Finance and Economics, Guizhou Normal University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: National Natural Science Foundation of China