Work

Persistence and Extinction of a Pest-natural Enemy Diffusive Model With Birth and Harvesting Impulses

Year: 2026

Type: article

Abstract: To understand how birth pulses and human interventions jointly influence the spatial dynamics of pests and their natural enemies, this paper develops an impulsive reaction-diffusion model for a pest-natural enemy system. We first investigate the principal eigenvalue of a corresponding single-species eigenvalue problem using the Krein-Rutman theorem and establish its monotonicity with respect to impulse intensities. Based on these eigenvalues, we analyze the threshold dynamical behavior of the full model. Sufficient conditions for co-extinction, single-species persistence, and two-species coexistence are derived. Compared with existing impulsive models that focus on either single species or single impulsive event, our work explicitly couples birth pulses and harvesting impulses in a two-species reaction-diffusion framework. The eigenvalue-based threshold criteria extend the classical logistic impulsive theory to predator-prey interactions with spatial heterogeneity. Finally, numerical simulations are presented to illustrate the theoretical results and to explore the impact of birth pulses and human interventions on population dynamics.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20260076

Authors: Tangjiarui Chen, Yue Meng, Zhigui Lin

Institution: Yangzhou University

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Life on land

Open Access status: diamond

Funder: National Natural Science Foundation of China