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Multiple Periodic Solutions of an Impulsive Population System with Delays

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  • Wenbo Zhao
  • Caochuan Ma
  • Lijun Chen

Abstract

A nonautonomous plant-hare model with impulse is considered. By using the continuation theorem of coincidence degree theory, we present an easily verifiable sufficient condition on the existence of multiple periodic solutions. Though Gao et al. (2014) considered the periodic solutions of plant-hare model, such model with impulses and delay has not been studied in previous paper.

Suggested Citation

  • Wenbo Zhao & Caochuan Ma & Lijun Chen, 2014. "Multiple Periodic Solutions of an Impulsive Population System with Delays," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, May.
    • Handle: RePEc:hin:jnlaaa:531932
    DOI: 10.1155/2014/531932
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    Cited by:

    1. Tian, Yuan & Li, Chunxue & Liu, Jing, 2023. "Complex dynamics and optimal harvesting strategy of competitive harvesting models with interval-valued imprecise parameters," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Liu, Qiong & Zhang, Meng & Chen, Lansun, 2019. "State feedback impulsive therapy to SIS model of animal infectious diseases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 222-232.

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