Periodic solutions of nonautonomous differential systems modeling obesity population

Abraham J. Arenas, Gilberto González-Parra and Lucas Jódar

Chaos, Solitons & Fractals, 2009, vol. 42, issue 2, 1234-1244

Abstract: In this paper we study the periodic behaviour of the solutions of a nonautonomous model for obesity population. The mathematical model represented by a nonautonomous system of nonlinear ordinary differential equations is used to model the dynamics of obese populations. Numerical simulations suggest periodic behaviour of subpopulations solutions. Sufficient conditions which guarantee the existence of a periodic positive solution are obtained using a continuation theorem based on coincidence degree theory.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:2:p:1234-1244

DOI: 10.1016/j.chaos.2009.03.029

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