Abstract:
In this project, we analyse a bionomic model of two competitive species in the presence of
toxicity with different harvesting efforts. It is noted that under certain parametric restrictions,
the model has a unique
positive equilibrium point that is globally asymptotically stable whenever
it is locally stable. Here we note that the origin and both the axial equilibria are unstable
whenever a locally stable unique interior
equilibrium point exists. The conditions for the
existence
of bionomic equilibria are discussed and optimal harvesting policy is derived using
Pontryagin's maximum principle.
