Disease-Induced Chaotic Oscillations and its Possible Control in a Predator–Prey System with Disease in Predator
- 214 Downloads
The effect of parasites and pathogens in prey populations received a lot of attention but disease in predator population has been studied comparatively little in literature. In the present paper we consider a predator–prey model with disease in predator population. We analyze the local stability of model system around the equilibria. We derive the ecological as well as disease basic reproduction numbers and study the community structure of model system by these numbers. We work out the conditions of Hopf bifurcation and persistence of system. Our numerical results reveals that system shows chaotic dynamics for increasing the infection in predator. It is also observe that half saturation constant is responsible for occurrence and control of chaos.
KeywordsDisease in predator Limit cycles Chaos Half-saturation constant Basic reproduction number Hopf Bifurcation Permanence
The authors are grateful to the reviewer for their helpful comments and suggestions.
- 4.Anderson, R.M., May, R.M.: Infectious Diseases of Humans. Dynamics and Control. Oxford University Press, Oxford (1991)Google Scholar
- 28.Holmes, J.C., Bethel, W.M.: Modification of intermediate host behaviour by parasites. In: Canning, E.U., Wright, C.A. (eds.) Behavioural Aspects of Parasites Transmission, pp. 123–149. Academic Press, London (1972)Google Scholar