Role of transmissible disease in an infected prey-dependent predator – prey system

Mainul Haque, Joydev Chattopadhyay

Research output: Contribution to journalArticlepeer-review


The role of disease in ecological systems is a very important issue from both mathematical and ecological points of view. This paper deals with the qualitative analysis of a prey-dependent predator – prey system in which a disease is spreading among the prey species only. We have analysed the behaviour of the system around each equilibrium and obtained conditions for global stability of the system around an equilibrium by using suitable Lypunov functions. We have also worked out the region of parametric space under which the system enters a Hopf bifurcation and a transcritical bifurcation but does not experience either saddle-node bifurcations or pitchfork bifurcations around the disease-free equilibrium E 2. Finally, we have given an example of a real ecological situation with experimental data simulations.
Original languageEnglish
Pages (from-to)163-178
JournalMathematical and Computer Modelling of Dynamical Systems
Issue number2
Early online date19 Mar 2007
Publication statusPublished - 1 Apr 2007


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