TY - JOUR
T1 - Positive Periodic Solutions for a Single-Species Model with Delay Weak Kernel and Cycle Mortality
AU - Lei , Ceyu
AU - Han , Xiaoling
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 92
EP - 102
PY - 2022
DA - 2022/06
SN - 4
DO - http://doi.org/10.12150/jnma.2022.92
UR - https://global-sci.org/intro/article_detail/jnma/20695.html
KW - Positive periodic solutions, Single-species model, Delay, Cycle
mortality.
AB - <p style="text-align: justify;">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: $$x&#39;(t) = rx(t)[1 − \frac{1}{K}\int^t_{−∞}αe^ {−α(t−s)} x(s)ds] − a(t)x(t),$$ 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.</p>