Bifurcation and Chaos of a Discrete-Time Population Model

Guo Feng and Song Xinghao

Discrete Dynamics in Nature and Society, 2020, vol. 2020, 1-7

Abstract:

A Leslie population model for two generations is investigated by qualitative analysis and numerical simulation. For the different parameters a and b in the model, the dynamics of the system are studied, respectively. It shows many complex dynamic behavior, including several types of bifurcations leading to chaos, such as period-doubling bifurcations and Neimark–Sacker bifurcations. With the change of parameters, attractor crises and chaotic bands with periodic windows appear. The largest Lyapunov exponents are numerically computed and can verify the rationality of the theoretical analysis.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8474715

DOI: 10.1155/2020/8474715

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