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Positive Periodic Solutions of Nicholson‐Type Delay Systems with Nonlinear Density‐Dependent Mortality Terms

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  • Wei Chen
  • Lijuan Wang

Abstract

This paper is concerned with the periodic solutions for a class of Nicholson‐type delay systems with nonlinear density‐dependent mortality terms. By using coincidence degree theory, some criteria are obtained to guarantee the existence of positive periodic solutions of the model. Moreover, an example and a numerical simulation are given to illustrate our main results.

Suggested Citation

  • Wei Chen & Lijuan Wang, 2012. "Positive Periodic Solutions of Nicholson‐Type Delay Systems with Nonlinear Density‐Dependent Mortality Terms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:843178
    DOI: 10.1155/2012/843178
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    References listed on IDEAS

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    1. Xiaoming Fan & Zhigang Wang & Fuquan Jiang, 2012. "Dynamics of Mutualism-Competition-Predator System with Beddington-DeAngelis Functional Responses and Impulsive Perturbations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-33, July.
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    Cited by:

    1. Hui-Sheng Ding & Julio G. Dix, 2014. "Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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