Analysis Of The Dynamics Of Two Preys And One Predator Model With Prey Refuge.

Abstract

In This Thesis, A Three Component Mathematical Model Consisting Of Two Prey And One Predator Incorporating A Prey Refuge Is Proposed And Analysed Where The Predator Shows A Holling Type I Response To One Of The Prey, And A Holling Type Ii Response To The Other Prey. The Purpose Of This Work Is To Present Some Mathematical Analysis Of The Dynamics Of A Two Prey And One Predator In A Given Ecological System. The Stability Of Positive Constant Equilibrium Are Investigated. We Derive Dcriteria Which Guarantee The Persistence Of The Three Species And The Global Dynamics Of The Model System. Results Of The Analysis Of The Modelshowthatthe3specieswouldco-Exist. Other Major Observation From The Analysis Is That The Predator Population Density Increases Signi???Cantly When The Intrinsic Growth Rate Of Both Preys Increases. This Can Imply That A High Intrinsicgrowthrateofthepreyinitiallyincreasestheirpopulationdensitywhich Increases The Predate Or?��?Schance Of