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/6653943832/57527
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-575272018-09-05T03:45:08Z Analysis of a Predator-Prey Model with Switching and Stage-Structure for Predator T. Suebcharoen Mathematics © 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. 2018-09-05T03:45:08Z 2018-09-05T03:45:08Z 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/6653943832/57527
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
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/6653943832/57527
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