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

• Published in: International journal of dynamics and control Vol. 9; no. 1; pp. 334 - 349
• Main Authors: Das, Meghadri, Samanta, G. P.
• Format: Journal Article
• Language: English
• 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

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...