Mathematical Models of Biological Populations

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

Chapter Chapter 6 in Mathematical Modeling in Economics, Ecology and the Environment, 2013, pp 133-156 from Springer

Abstract: Abstract The study of development and interaction of biological species is an important direction of modern research. As one of the central parts of this study, mathematical modeling assists in understanding the behavior of populations and provides reliable forecasts and recommendations for sustainable policies and management. A variety of mathematical models of biological populations and their investigation techniques have been developed, but practice requires new models that consider, for instance, aftereffect and joint influence of different exogenous and endogenous factors. This chapter explores well-known population models that have become a foundation to contemporary models widely used in practice. Section 6.1 presents population models based on ordinary differential equations and basic elements of their analysis. Section 6.2 explores different types of interaction among species and offers a detailed analysis of predator–prey models. Section 6.3 discusses partial differential and integral models of population dynamics.

Keywords: Phase Portrait; Positive Equilibrium; Prey Model; Volterra Model; Trivial Equilibrium (search for similar items in EconPapers)
Date: 2013
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-9311-2_6

Ordering information: This item can be ordered from
http://www.springer.com/9781461493112

DOI: 10.1007/978-1-4614-9311-2_6

Access Statistics for this chapter

More chapters in Springer Optimization and Its Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().