A delayed prey–predator system with prey subject to the strong Allee effect and disease

• Published in: Nonlinear dynamics Vol. 84; no. 3; pp. 1569 - 1594
• Main Authors: Biswas, Santanu, Saifuddin, Md, Sasmal, Sourav Kumar, Samanta, Sudip, Pal, Nikhil, Ababneh, Faisal, Chattopadhyay, Joydev
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.05.2016; Springer Nature B.V
• Subjects: Automotive Engineering; Chaos theory; Classical Mechanics; Computer simulation; Control; Delay; Differential equations; Dynamical Systems; Engineering; Epidemiology; Gestation; Hopf bifurcation; Liapunov exponents; Mathematical analysis; Mathematical models; Mechanical Engineering; Nonlinear analysis; Nonlinear dynamics; Original Paper; Parameters; Population growth; Predator-prey simulation; Response time; Time lag; Vibration; Chaos; Stability analysis; Eco-epidemiology; Time delay; Hopf bifurcation; Allee effect

In this article, an eco-epidemiological model with strong Allee effect in prey population growth is presented by a system of delay differential equations. The time lag in terms of the delay parameter corresponds to the predator gestation period. We inspect elementary mathematical characteristic of t...