Exploring the dynamics of three species delayed food chain model with harvesting

Sivasamy, R.; Vinoth, S.; Sathiyanathan, K.

doi:10.1088/1742-6596/1139/1/012028

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2019

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“… is the gestation period or reaction time of the predators. Alternatively, time delay in convert food to the growth rate can be found in [9] which present the time delay in the following model: where () Nt , () Pt and () Qt are the prey, middle-level predator and top-level predator population respectively. Here  denote time delay to convert the food into growth of the pray.…”

Section: Introductionmentioning

confidence: 99%

An Application of a Delay CSOH Model on the Coconut Farm

Vajrapatkul,

Sirisubtawee,

Khoonprasert

2019

IJEAT

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In this paper, we introduce the mathematical model that represents the quantity and population dynamics on the coconut farm. The model encompasses the number of coconuts and population of squirrels, barn owls, and squirrel hunters. We study the fundamental properties of the model that include positivity, boundedness, and equilibrium points. We also investigate the effect of the time delay on the stability of the equilibrium points. The results of the analysis show that when the time delay reaches its critical value, the interior equilibrium point lost its stability, and there occurs the Hopf bifurcation.

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Section: Introductionmentioning

confidence: 99%