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Periodic solutions for impulsive delay differential equations in the control model of plankton allelopathy

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  • Jia, Junguo
  • Wang, Miansen
  • Li, Meili

Abstract

In this paper, a two-dimensional non-autonomous system with impulse that arises in plankton allelopathy involving discrete time delays and periodic environmental factors is studied. By the theory of the coincidence degree we obtain the conditions for the existence of periodic solution of this system.

Suggested Citation

  • Jia, Junguo & Wang, Miansen & Li, Meili, 2007. "Periodic solutions for impulsive delay differential equations in the control model of plankton allelopathy," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 962-968.
  • Handle: RePEc:eee:chsofr:v:32:y:2007:i:3:p:962-968
    DOI: 10.1016/j.chaos.2006.01.017
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    Cited by:

    1. Wang, Xiaoyun & Wei, Lijuan & Zhang, Juan, 2014. "Dynamical analysis and perturbation solution of an SEIR epidemic model," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 479-486.

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