@Article{JNMA-4-92, author = {Lei , Ceyu and Han , Xiaoling}, title = {Positive Periodic Solutions for a Single-Species Model with Delay Weak Kernel and Cycle Mortality}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2022}, volume = {4}, number = {1}, pages = {92--102}, abstract = {

In this paper, by using the Krasnoselskii’s fixed-point theorem, we study the existence of positive periodic solutions of the following single-species model with delay weak kernel and cycle mortality: $$x'(t) = rx(t)[1 − \frac{1}{K}\int^t_{−∞}αe^ {−α(t−s)} x(s)ds] − a(t)x(t),$$ and get the necessary conditions for the existence of positive periodic solutions. Finally, an example and numerical simulation are used to illustrate the validity of our results.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2022.92}, url = {http://global-sci.org/intro/article_detail/jnma/20695.html} }