4 problems

Global phase portrait conjecture. If

Consider the predator-prey model given by Equation (HarvestingEqn), and let $q^*$ denote the harvesting threshold appearing in the conjecture. Here $q$ is the predator-harvesting e…

Consider the harvested predator-prey model given by Equation (HarvestingEqn), with all parameters fixed except the harvesting effort $q\geq 0$. A homoclinic loop is a trajectory th…

Consider the predator-prey model given by Equation (Main), and suppose it admits a Hopf bifurcation as in the stated Hopf-bifurcation theorem for a given set of parameters. The coe…