Diffusion and distributed delay effects in a predator–prey system: A mathematical analysis

Autor: N.B. Sharmila, Gunasundari C., Salah Mahmoud Boulaaras, Suvitha V.
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Partial Differential Equations in Applied Mathematics, Vol 10, Iss , Pp 100709- (2024)
Druh dokumentu: article
ISSN: 2666-8181
DOI: 10.1016/j.padiff.2024.100709
Popis: This study explores a nonautonomous model of prey-predator dynamics, featuring continuous distributed delay and diffusion, with time-dependent parameters. Our model depicts two ecological patches hosting two species: predators remain localized in one patch, while prey can disperse between both. Our analysis concentrates on ensuring the model’s consistent presence and achieving global stability. Additionally, we derive necessary conditions for periodic solutions by developing a pertinent Lyapunov function.
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