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Global stability of a three species predator-prey food chain dynamics

In this paper controlling chaotic dynamics in a three species food chain model with modified Holling type IV functional response is proposed and studied. The system is observed to be dissipative in the positive octant. The global stability of the equilibrium points is analyzed using Routh-Hurwitz...

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التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Ali, Safaa Jawad, Md. Arifin, Norihan, Naji, Raid Kamel, Ismail, Fudziah, Bachok, Norfifah
التنسيق: مقال
منشور في: Watam Press 2019
الوصول للمادة أونلاين:http://psasir.upm.edu.my/id/eprint/79999/
http://online.watsci.org/contents2019/v26n1b.html
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spelling my.upm.eprints.799992023-05-30T08:50:07Z http://psasir.upm.edu.my/id/eprint/79999/ Global stability of a three species predator-prey food chain dynamics Ali, Safaa Jawad Md. Arifin, Norihan Naji, Raid Kamel Ismail, Fudziah Bachok, Norfifah In this paper controlling chaotic dynamics in a three species food chain model with modified Holling type IV functional response is proposed and studied. The system is observed to be dissipative in the positive octant. The global stability of the equilibrium points is analyzed using Routh-Hurwitz criterion and Lyapunov second method. Lyaponuv exponent and bifurcation diagrams are used to study the dynamics of the system. The effect of the death rate in the dynamics of the food chain system is discussed. Moreover, the role of intraspecific competition in the dynamics of the model is investigated theoretically and additionally numerically Watam Press 2019 Article PeerReviewed Ali, Safaa Jawad and Md. Arifin, Norihan and Naji, Raid Kamel and Ismail, Fudziah and Bachok, Norfifah (2019) Global stability of a three species predator-prey food chain dynamics. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 26 (1b). pp. 39-52. ISSN 1492-8760 http://online.watsci.org/contents2019/v26n1b.html
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description In this paper controlling chaotic dynamics in a three species food chain model with modified Holling type IV functional response is proposed and studied. The system is observed to be dissipative in the positive octant. The global stability of the equilibrium points is analyzed using Routh-Hurwitz criterion and Lyapunov second method. Lyaponuv exponent and bifurcation diagrams are used to study the dynamics of the system. The effect of the death rate in the dynamics of the food chain system is discussed. Moreover, the role of intraspecific competition in the dynamics of the model is investigated theoretically and additionally numerically
format Article
author Ali, Safaa Jawad
Md. Arifin, Norihan
Naji, Raid Kamel
Ismail, Fudziah
Bachok, Norfifah
spellingShingle Ali, Safaa Jawad
Md. Arifin, Norihan
Naji, Raid Kamel
Ismail, Fudziah
Bachok, Norfifah
Global stability of a three species predator-prey food chain dynamics
author_facet Ali, Safaa Jawad
Md. Arifin, Norihan
Naji, Raid Kamel
Ismail, Fudziah
Bachok, Norfifah
author_sort Ali, Safaa Jawad
title Global stability of a three species predator-prey food chain dynamics
title_short Global stability of a three species predator-prey food chain dynamics
title_full Global stability of a three species predator-prey food chain dynamics
title_fullStr Global stability of a three species predator-prey food chain dynamics
title_full_unstemmed Global stability of a three species predator-prey food chain dynamics
title_sort global stability of a three species predator-prey food chain dynamics
publisher Watam Press
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/79999/
http://online.watsci.org/contents2019/v26n1b.html
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score 13.251813

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