Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales-Reference-Cited by-同舟云学术

Global attractors, extremal stability and periodicity for a delayed population model with survival rate on time scales

Published:2021 Issue:5 Volume:18 Page:6819-6840
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Mesquita Jaqueline G., ,Ostaszewska Urszula,Schmeidel Ewa,Zdanowicz Małgorzata,

Abstract

<abstract>In this paper, we investigate the existence of global attractors, extreme stability, periodicity and asymptotically periodicity of solutions of the delayed population model with survival rate on isolated time scales given by <disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ x^{\Delta} (t) = \gamma(t) x(t) + \dfrac{x(d(t))}{\mu(t)}e^{r(t)\mu(t)\left(1 - \frac{x(d(t))}{\mu(t)}\right)}, \ \ t \in \mathbb T. $\end{document} </tex-math></disp-formula> We present many examples to illustrate our results, considering different time scales.</abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modelling and Simulation,General Medicine

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