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Modeling of Heterogeneous and Controlled Populations

In: Mathematical Modeling in Economics, Ecology and the Environment

Author

Listed:
  • Natali Hritonenko

    (Prairie View A&M University)

  • Yuri Yatsenko

    (Houston Baptist University)

Abstract

Age-structured population models, considered in Chap. 6, have become a traditional tool in biological modeling and are widely used in other disciplines. They possess well-developed investigation techniques. However, the size of individuals is a more important parameter than their age for some species. Section 7.1 considers two size-structured models that describe a population with natural reproduction and a fully managed population and explores links between size- and age-structured models. Nonlinear models of heterogeneous populations with intraspecies competition and their investigation techniques (steady-state and bifurcation analyses) are discussed in Sect. 7.2. An endogenous control is introduced into the model to address management problems in farming, fishery, forestry, and other applications. Controlled age- and size-dependent models are considered in Sect. 7.3.

Suggested Citation

  • Natali Hritonenko & Yuri Yatsenko, 2013. "Modeling of Heterogeneous and Controlled Populations," Springer Optimization and Its Applications, in: Mathematical Modeling in Economics, Ecology and the Environment, edition 2, chapter 0, pages 157-177, Springer.
    • Handle: RePEc:spr:spochp:978-1-4614-9311-2_7
    DOI: 10.1007/978-1-4614-9311-2_7
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