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Modeling symbiosis by a Lotka-Volter...

Williams, Laney.

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Modeling symbiosis by a Lotka-Volterra-type system of differential equations.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Modeling symbiosis by a Lotka-Volterra-type system of differential equations./
Author:	Williams, Laney.
Description:	53 p.
Notes:	Source: Masters Abstracts International, Volume: 52-03.
Contained By:	Masters Abstracts International52-03(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1523998
ISBN:	9781303481963

Modeling symbiosis by a Lotka-Volterra-type system of differential equations.
Williams, Laney.

Modeling symbiosis by a Lotka-Volterra-type system of differential equations. - 53 p.

Source: Masters Abstracts International, Volume: 52-03.

Thesis (M.S.)--Texas Woman's University, 2013.

Biological symbiosis is necessary for life on earth. However, population based models of symbiosis are rare in literature. One problem is defining symbiosis, and whether is includes mutualism, commensalism and parasitism, or only mutualism. Additionally, there are obligate and facultative types. Another problem is that basic models of symbiosis have relied on a variation of the Lotka-Volterra competition equation, which can lead to unrealistic results, such as unlimited population growth. Several stable models have limited the growth by using equations for carrying capacity which are functions of the symbiont species. In this work a new model is proposed which uses a modified Holling Type II functional response for the carrying capacities. The broadest definition of symbiosis for thoroughness is used. This new model has stable equilibria for many different types of symbiosis.

ISBN: 9781303481963Subjects--Topical Terms:

515831
Mathematics.

Modeling symbiosis by a Lotka-Volterra-type system of differential equations.
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100 1 $a Williams, Laney. $3 2096638
245 1 0 $a Modeling symbiosis by a Lotka-Volterra-type system of differential equations.
300 $a 53 p.
500 $a Source: Masters Abstracts International, Volume: 52-03.
500 $a Adviser: Ellina Gugoreva.
502 $a Thesis (M.S.)--Texas Woman's University, 2013.
520 $a Biological symbiosis is necessary for life on earth. However, population based models of symbiosis are rare in literature. One problem is defining symbiosis, and whether is includes mutualism, commensalism and parasitism, or only mutualism. Additionally, there are obligate and facultative types. Another problem is that basic models of symbiosis have relied on a variation of the Lotka-Volterra competition equation, which can lead to unrealistic results, such as unlimited population growth. Several stable models have limited the growth by using equations for carrying capacity which are functions of the symbiont species. In this work a new model is proposed which uses a modified Holling Type II functional response for the carrying capacities. The broadest definition of symbiosis for thoroughness is used. This new model has stable equilibria for many different types of symbiosis.
590 $a School code: 0925.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mathematics. $3 1669109
690 $a 0405
690 $a 0364
710 2 $a Texas Woman's University. $b Mathematics. $3 2096639
773 0 $t Masters Abstracts International $g 52-03(E).
790 $a 0925
791 $a M.S.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1523998