Work

Dynamic complexity of a predator-prey model with nonlinear pulse and periodic factor

Year: 2025

Type: article

Abstract: Based on an integrated pest control strategy, a class of nonlinear impulse predator-prey models with a sinusoidal function as the periodicity factor is qualitatively analyzed. Using the Comparison Theorem for Differential Equations and the Floquet Lemma, sufficient condition for the global asymptotic stability of the pest-eradication periodic solution of the system is obtained. The condition for the persistence of the system is proved through the Comparison Theorem, and the system has very complex dynamic properties when intermediate between the two conditions obtained. By using branching theory, the existence of non-trivial periodic solutions of the system is analyzed and further conditions for supercritical bifurcation are obtained, and finally the obtained conditions are verified by numerical simulations.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-03922-y

Authors: Changtong Li, Tongtong Dang, Xiaozhou Feng, Lifeng Wang

Institution: Xi'an Technological 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: hybrid

Estimated APC paid: $1,890

Funders: National Natural Science Foundation of China, Major Project of Philosophy and Social Science Research in Colleges and Universities of Jiangsu Province