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In this paper, a stage structured prey-predator-resource model with maturation delay is established, where resource biomass is harvested. Persistence of solutions of model system is studied. Dynamic analysis of model system with maturation delay is investigated, which shows that interior equilibrium loses its stability at some critical values of maturation delay and economic interest of harvesting...
A harvested allelopathic two-species phytoplankton ecosystem is investigated by a differential-algebraic model. By using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around the interior equilibrium is studied. Furthermore, instability mechanism of the proposed model due to variation of economic interest of harvesting is discussed. With the...
In this paper, we consider a differential-algebraic model which links the outbreak and biological control strategy of algal blooms. In the proposed mathematical model, two interacting algal species are investigated by a two-species Lotka-Volterra competition differential model, and an algebraic equation is presented to study the economic interest of harvest effort on some algal. The occurrence mechanism...
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