Interplay between reproduction and age selective harvesting delays of a single population non-autonomous system
Populations and Evolution
2020-01-10 v1 Chaotic Dynamics
Abstract
This paper is concerned with an analysis of the dynamics of a non-autonomous, single population age based growth model with harvesting formulation. First, we derive sufficient conditions for permanence and positive invariance. Then, by constructing a scalar function, namely the Lyapunov function, we arrive at a suitable criterion for global attractivity. With the help of Brouwer fixed point and continuation theorems, we obtain constraints for the existence of a positive periodic solution. Then we prove that there exists only one solution which is almost periodic in nature that is distinct from every other solution. Further, we carry out a numerical simulation to support the analytical findings.
Keywords
Cite
@article{arxiv.2001.03059,
title = {Interplay between reproduction and age selective harvesting delays of a single population non-autonomous system},
author = {N. S. N. V. K. Vyshnavi Devi and Debaldev Jana and M. Lakshmanan},
journal= {arXiv preprint arXiv:2001.03059},
year = {2020}
}