https://doi.org/10.1140/epjp/s13360-024-05884-8
Regular Article (incl. Technical & Progress Reports)
Dynamical exploration of a delayed Leslie-Gower population model with seasonal variation in harvesting and prey’s growth
1
Department of Mathematics, NIT Durgapur, 713209, Durgapur, India
2
Department of Mathematics, School of Advanced Sciences, VIT-AP University, 522241, Amaravati, Andhra Pradesh, India
Received:
11
July
2024
Accepted:
26
November
2024
Published online:
15
December
2024
This paper deals with a two-species delayed non-autonomous population model, incorporating seasonal harvesting for both the species and seasonal growth for the prey population only. Due to the delay in the maturation of prey and conversion to predator biomass, two discrete lags are introduced into the model. Conditions for the occurrence of delay-induced Hopf bifurcation in the corresponding autonomous system are derived. In addition, sufficient conditions for permanence and the existence of periodic solution have been obtained in the presence of seasonal perturbation. The global stability of the system has been explored in presence as well as in absence of seasonal influences. Furthermore, numerical simulations are carried out to validate our analytical findings and to compare the bifurcation results between autonomous and non-autonomous systems. Sensitivity analysis is presented to identify the impact of parameters involved in the system.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
