Dynamics of an Impulsive Predator–Prey Model with a Seasonally Mass Migrating Prey Population

Yunpeng Xiao and Jianjun Jiao ()
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Yunpeng Xiao: School of Mathematics Science, Guizhou Normal University, Guiyang 550025, China
Jianjun Jiao: School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China

Mathematics, 2025, vol. 13, issue 10, 1-20

Abstract: Seasonality is a complex force in nature that affects multiple processes in wild animal populations. Animal mass migration refers to the migration of a large number of animals from a certain distance due to breeding, foraging, climate change or other reasons. In this work, an impulsive predator–prey model with a seasonally mass migrating prey population is constructed. The predator–extinction boundary periodic solution of system (3) is proved to be globally asymptotically stable. System (3) is also proved to be permanent. Our results provide a theoretical reference for biodiversity protection management.

Keywords: seasonal mass migration; impulsive predator–prey model; climate changes; predator–extinction; permanence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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