A prey-predator fractional order model with fear effect and group defense

In this work, a fractional-order prey-predator system with fear effect of predator on prey population and group defense has been proposed. The existence and uniqueness of the system have been studied. Non-negativity and boundedness are also theoretically demonstrated. Analysis of local stability wit...

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Bibliographic Details
Published inInternational journal of dynamics and control Vol. 9; no. 1; pp. 334 - 349
Main Authors Das, Meghadri, Samanta, G. P.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2021
Springer Nature B.V
Subjects
Complexity
Control
Control and Systems Theory
Dynamical Systems
Engineering
Fear
Hopf bifurcation
Mathematical models
Predator-prey simulation
Predators
Stability analysis
Vibration
Bifurcation
Caputo fractional differential equation
Fear effect
Predator-prey model
Group defense
Lyapunov exponent
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Summary:In this work, a fractional-order prey-predator system with fear effect of predator on prey population and group defense has been proposed. The existence and uniqueness of the system have been studied. Non-negativity and boundedness are also theoretically demonstrated. Analysis of local stability with examination of saddle-node and Hopf bifurcation at equilibrium points are performed by the help of numerical simulations along with analytical study. All the numerical simulations are performed using MATLAB and MAPLE.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-020-00626-x