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Mohammad Esmael Samei

Mohammad Esmael Samei

Academic rank: Associate Professor
ORCID: 0000-0002-5450-3127
Education: PhD.
ScopusId: 55938219900
HIndex: 23/00
Faculty: Faculty of Science
Address: Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
Phone: 08131406263

Research

Title
Uniform persistence and almost periodic solutions of a non-autonomous patch occupancy model
Type
JournalPaper
Keywords
Non-autonomous dynamical species; Uniform persistence; Almost periodic solution; Global asymptotic stability
Year
2020
Journal Advances in Difference Equations
DOI
Researchers Hui Zhou ، Jehad Alzabut ، shahram Rezapour ، Mohammad Esmael Samei

Abstract

In this paper, a nonlinear non-autonomous model in a rocky intertidal community is studied. The model is composed of two species in a rocky intertidal community, which describe a patch occupancy with global dispersal of propagules and occupy each other by individual organisms. Firstly, we study the uniform persistence of the model via differential inequality techniques. Furthermore, a sharp threshold of global asymptotic stability and the existence of a unique almost periodic solution are derived. To prove the main results, we construct an appropriate Lyapunov function whose conditions are easily verified. The assumptions of the model are reasonable and the results complement previously known ones. An example with specific values of parameters is included for demonstration of theoretical outcomes.