Abstract
This article studies an \(\omega\)—periodic system of Nicholson-type differential equations with nonlinear density-dependent mortality rate. Using the degree theory we obtain sufficient conditions for the existence of a positive \(\omega\)—periodic solution. Also a result of local asymptotic stability for the periodic solution is obtained by Lyapunov theory. Our results improve previous researches on the subject.
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Appendix 1: Numerical Simulation for Delay Differential Equations in R Software with PBSddesolve Package
Appendix 1: Numerical Simulation for Delay Differential Equations in R Software with PBSddesolve Package
In this appendix, we present the code introduced in R that allowed us to obtain our graphs, this with the purpose of greater methodological transparency and that any interested person can reproduce our numerical simulations.
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Ossandón, G., Sepúlveda, D. Existence and Stability of Periodic Solutions of Nicholson-Type System with Nonlinear Density-Dependent Mortality. Differ Equ Dyn Syst 32, 489–503 (2024). https://doi.org/10.1007/s12591-021-00580-w
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DOI: https://doi.org/10.1007/s12591-021-00580-w