Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator

© 2017 T. Suebcharoen. This paper studies the behavior of a predator-prey model with switching and stage-structure for predator. Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it i...

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Main Author: T. Suebcharoen
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/43702
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-437022018-04-25T07:29:39Z Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator T. Suebcharoen Mathematics Agricultural and Biological Sciences © 2017 T. Suebcharoen. This paper studies the behavior of a predator-prey model with switching and stage-structure for predator. Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it is shown that the positive equilibrium can be destabilized through a Hopf bifurcation. Some numerical simulations are also given to illustrate our results. 2018-01-24T03:56:18Z 2018-01-24T03:56:18Z 2017-01-01 Journal 16879651 16879643 2-s2.0-85031893243 10.1155/2017/2653124 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85031893243&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43702
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
Agricultural and Biological Sciences
spellingShingle Mathematics
Agricultural and Biological Sciences
T. Suebcharoen
Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
description © 2017 T. Suebcharoen. This paper studies the behavior of a predator-prey model with switching and stage-structure for predator. Bounded positive solution, equilibria, and stabilities are determined for the system of delay differential equation. By choosing the delay as a bifurcation parameter, it is shown that the positive equilibrium can be destabilized through a Hopf bifurcation. Some numerical simulations are also given to illustrate our results.
format Journal
author T. Suebcharoen
author_facet T. Suebcharoen
author_sort T. Suebcharoen
title Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
title_short Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
title_full Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
title_fullStr Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
title_full_unstemmed Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator
title_sort analysis of a predator-prey model with switching and stage-structure for predator
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85031893243&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43702
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