Affiliation:
1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, India
Abstract
In this work a predator-prey model is proposed where prey species shows
anti-predator behaviour to save themselves from predator?s attack. Moreover,
a strong Allee effect has been introduced in the prey population to make the
model more realistic to the environment. Both generalist and specialist
predators have been taken to observe the system dynamics minutely. The
predator population decreases with increasing value of ?rate coefficient of
anti-predator behaviour? when generalist predator is considered but in
presence of the specialist predator, the predator population first increases
up to a threshold value and then decreases. It means a very small rate of
anti-predation does not affect the predator?s growth very much but if prey
attacks the predator at a larger rate, then the predator population
decreases. Also, the existence of one dimensional and two-dimensional
bifurcations have been observed by making different parameters as bifurcating
parameters around the steady states.
Publisher
National Library of Serbia
Cited by
3 articles.
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