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Global stability of a population model

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  • Din, Q.

Abstract

In this paper, we study the qualitative behavior of a discrete-time population model. More precisely, we investigate boundedness character, existence and uniqueness of positive equilibrium point, local asymptotic stability and global asymptotic stability of unique positive equilibrium point, and the rate of convergence of positive solutions of a population model. In particular, our results solve an open problem proposed by Kulenvić and Ladas in their monograph (Kulenvić and Ladas, 2002) [8]. Some numerical examples are given to verify our theoretical results.

Suggested Citation

  • Din, Q., 2014. "Global stability of a population model," Chaos, Solitons & Fractals, Elsevier, vol. 59(C), pages 119-128.
    • Handle: RePEc:eee:chsofr:v:59:y:2014:i:c:p:119-128
    DOI: 10.1016/j.chaos.2013.12.008
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    1. Din, Qamar & Donchev, Tzanko, 2013. "Global character of a host-parasite model," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 1-7.
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    Cited by:

    1. Carbone, Anna & Jensen, Meiko & Sato, Aki-Hiro, 2016. "Challenges in data science: a complex systems perspective," Chaos, Solitons & Fractals, Elsevier, vol. 90(C), pages 1-7.
    2. Qamar Din, 2017. "Global stability and Neimark-Sacker bifurcation of a host-parasitoid model," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(6), pages 1194-1202, April.

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    1. Qamar Din, 2017. "Global stability and Neimark-Sacker bifurcation of a host-parasitoid model," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(6), pages 1194-1202, April.

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