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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| Main Authors: | , , , , |
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| Format: | Article |
| Published: |
Watam Press
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/79999/ http://online.watsci.org/contents2019/v26n1b.html |
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| Summary: | 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 |
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