Modeling of Heterogeneous and Controlled Populations

Natali Hritonenko and Yuri Yatsenko
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Natali Hritonenko: Prairie View A&M University

Chapter Chapter 7 in Mathematical Modeling in Economics, Ecology and the Environment, 2013, pp 157-177 from Springer

Abstract: 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.

Keywords: Optimal Control Problem; Population Model; Natural Reproduction; Nonlocal Nonlinearity; Intraspecies Competition (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-9311-2_7

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