Asymptotically periodic solutions of fractional order systems with applications to population models

Hua He and Wendi Wang

Applied Mathematics and Computation, 2024, vol. 476, issue C

Abstract: Motivated by applications in population models, we consider S-asymptotically periodic solution of fractional differential equations with periodic environment forces or asymptotically periodic ones. The system is quasi-monotone, and the existence of positive S-asymptotically periodic solution is established by using upper and lower solutions. The sufficient conditions that ensure the uniqueness of positive S-asymptotically periodic solution are also established on the basis of theory of sublinear operator. The applications of the general conclusions to classical population models yield the global convergence of positive S-asymptotically periodic solution in logistic equation with or without weak Allee effect, and the model of two cooperative populations.

Keywords: Asymptotic periodic; Integral equation; Existence and uniqueness; Cooperative population; Population application (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:476:y:2024:i:c:s0096300324002297

DOI: 10.1016/j.amc.2024.128760

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