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Nonlocal Effects of Intraspecific Pr...

ProQuest Information and Learning Co.

Nonlocal Effects of Intraspecific Prey Competition on the Stability of Predator-Prey Equilibria.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Nonlocal Effects of Intraspecific Prey Competition on the Stability of Predator-Prey Equilibria./
Author:	Jiang, Zhuo.
Description:	1 online resource (108 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
Contained By:	Dissertation Abstracts International78-08B(E).
Subject:	Applied mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369679298

Nonlocal Effects of Intraspecific Prey Competition on the Stability of Predator-Prey Equilibria.
Jiang, Zhuo.

Nonlocal Effects of Intraspecific Prey Competition on the Stability of Predator-Prey Equilibria. - 1 online resource (108 pages)

Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

We studied the nonlocal effects of intraspecific prey competition on the stability of the critical points of the Rosenzweig-MacArthur model and the Holling-Tanner model, respectively, using linear stability analysis. In particular we focused on the study of the stability of the coexistence state influenced by the nonlocality for both models. For each model, we used three different kernel functions to describe the nonlocal intraspecific prey competition. Based on our analysis, we found that the nonlocality plays a key role in affecting the stability of the coexistence point of both models with the given kernels. In addition, we conducted weakly nonlinear analysis of the coexistence state of the Holling-Tanner model with step kernel to confirm our stability results by linear stability analysis and explore the behavior in the neighborhood of the coexistence state.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369679298Subjects--Topical Terms:

1069907
Applied mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Nonlocal Effects of Intraspecific Prey Competition on the Stability of Predator-Prey Equilibria.
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040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Jiang, Zhuo. $3 1180602
245 1 0 $a Nonlocal Effects of Intraspecific Prey Competition on the Stability of Predator-Prey Equilibria.
264 0 $c 2017
300 $a 1 online resource (108 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-08(E), Section: B.
500 $a Advisers: Vladimir Volpert; Alvin Bayliss.
502 $a Thesis (Ph.D.) $c Northwestern University $d 2017.
504 $a Includes bibliographical references
520 $a We studied the nonlocal effects of intraspecific prey competition on the stability of the critical points of the Rosenzweig-MacArthur model and the Holling-Tanner model, respectively, using linear stability analysis. In particular we focused on the study of the stability of the coexistence state influenced by the nonlocality for both models. For each model, we used three different kernel functions to describe the nonlocal intraspecific prey competition. Based on our analysis, we found that the nonlocality plays a key role in affecting the stability of the coexistence point of both models with the given kernels. In addition, we conducted weakly nonlinear analysis of the coexistence state of the Holling-Tanner model with step kernel to confirm our stability results by linear stability analysis and explore the behavior in the neighborhood of the coexistence state.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Northwestern University. $b Engineering Sciences and Applied Mathematics. $3 1180565
773 0 $t Dissertation Abstracts International $g 78-08B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10257300 $z click for full text (PQDT)

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