Periodic solutions of logistic type population model with harvesting

Abstract

We consider a bifurcation problem arising from population biology du(t) dt = f(u(t))− εh(t), where f(u) is a logistic type growth rate function, ε ≥ 0, h(t) is a continuous function of period T such that ∫ T 0 h(t)dt > 0. We prove that there exists an ε0 > 0 such that the equation has exactly two T -periodic solutions when 0 < ε < ε0, exactly one T… (More)

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