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Birth Rate Effects on an Age‐Structured Predator‐Prey Model with Cannibalism in the Prey

Author

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  • Francisco J. Solis
  • Roberto A. Ku-Carrillo

Abstract

We develop a family of predator‐prey models with age structure and cannibalism in the prey population. It consists of systems of m ordinary differential equations, where m is a parameter associated with new proposed prey birth rates. We discuss how these new birth rates give the required flexibility to produce differential systems with well‐behaved solutions. The main feature required in these models is the coexistence among the involved species, which translates mathematically into stable equilibria and periodic solutions. The search for such characteristics is based on heuristic predation functions that account for cannibalism in the prey.

Suggested Citation

  • Francisco J. Solis & Roberto A. Ku-Carrillo, 2015. "Birth Rate Effects on an Age‐Structured Predator‐Prey Model with Cannibalism in the Prey," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:241312
    DOI: 10.1155/2015/241312
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    References listed on IDEAS

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    1. Ellen Brooks-Pollock & Ted Cohen & Megan Murray, 2010. "The Impact of Realistic Age Structure in Simple Models of Tuberculosis Transmission," PLOS ONE, Public Library of Science, vol. 5(1), pages 1-6, January.
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