MODELINGTHEPREDATOR-PREY RELATIONSHIPBETWEENROAMINGCOWSAND FARMPRODUCEUSINGMODIFIED LESLIE-GOWERANDHOLLING-TYPEII
Abstract
Thisprojectresearchattemptedsolvingtheclashbetweenherdsmenand farmersinNigeria,usingatwo-dimensionalcontinuouspredator-preysys- tem with Holling type II functional response and modi ed of LeslieGower typedynamicsincorporatingconstantproportionofpreyrefuge,thexed pointsarecomputedandconditionforasymptoticstabilityofthesystem are obtained.Numerical simulations are also carried out using MATLAB to verify the analytical results.
Inthisresearchwork,somenecessaryandsucientconditions,proposition andtheoremshavebeenprovedtoshowpositivity,boundness,stabilityand unique equilibrium point.
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