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Abdelahi, Mariem Mohamed; Sambe, Mohamed Ahmed; Ely, Elkhomeini Moulay

Existence results for some generalized sigmoid Beverton-Holt models in time scales. (English) Zbl 1522.39002

Nonauton. Dyn. Syst. 10, Article ID 20220166, 17 p. (2023).
Summary: In this article, we investigate some generalized sigmoid Beverton-Holt models in time scales, and we obtain the existence and uniqueness of a globally attractive almost periodic solution to the associated dynamic equations with or without survival rates under some suitable assumptions. An example is given to illustrate our abstract results.

MSC:

39A13 Difference equations, scaling (\(q\)-differences)
39A22 Growth, boundedness, comparison of solutions to difference equations
39A23 Periodic solutions of difference equations
39A24 Almost periodic solutions of difference equations

Keywords:

sigmoid Beverton-Holt model; difference equation; time scales; dynamic equation; survival rate; almost periodic solutions
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References:

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