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- W4285115551 abstract "We have explored a food chain continuous time model in this research in which it is composed of functional response named as Holling type II with the impact of harvesting on prey species. Throughout Holling’s studies on predator–prey interaction, the phrase “functional response” was created to explain that a predator’s rate of prey consumption varied as the density of prey varies. Holling’s simple premise depends on the two phases of predator`s period: “hunting for” and “dealing of” prey to establish his three types of functional features. The slope of Holling’s type II functional response declines steadily with increasing prey density, gradually saturating at a steady prey consumption value. We have consider a chain model here, where the predator predates on prey and super predator predates on predators. To obtain the strategies for controlling this food chain dynamical prey-predator system we have given illustrations on the harvesting effort as control to the system. Stable, unstable periodic, limit cycles and bifurcation has been identified in this model using biological plausible parameter values. That is, we present results on the equilibrium points, existence, stability, and local bifurcations. The food chain system has been achieved global asymptotic stability by establishing Lyapunov function. The nonlinear nature of these models is also explored and its response is determined for being extremely perceptive to the parameter variations along with everyday life parameters. The model’s bifurcation diagrams and Lyapunov function have been shown to demonstrate that when the parameters are changed, the system interacts chaotically. The nonlinear nature of the system is observed to be hyper delicate to parameter values as well as real life parameter. The bifurcation of prey species with varying parameters of prey growth rate and carrying capacity has been discussed elaborately. To explain the analytical conclusion, with various sets of parameters, computer simulations were carried out, particularly MATLAB simulations are used." @default.
- W4285115551 created "2022-07-14" @default.
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- W4285115551 date "2022-01-01" @default.
- W4285115551 modified "2023-10-03" @default.
- W4285115551 title "The Role of Harvesting in a Food Chain Model and Its Stability Analysis" @default.
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- W4285115551 doi "https://doi.org/10.1007/978-981-19-0182-9_2" @default.
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