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We consider the classical concept of time of permanence and observe that its quantum equivalent is described by a bona fide self-adjoint operator. Its interpretation, by means of the spectral theorem,...
In this paper, a predator-prey model with mixed-type functional response is investigated. Sufficient conditions are derived that guarantee the permanence of the system. Meanwhile, when the system is p...
In this paper, an autonomous competitive model with feedback control is studied. And the equilibriums of the system are discussed at first. Then the stability of equilibriums are obtained by ODE’s s...
In this paper we establish an impulsive single-species model with hereditary effect. Easily verifiable criteria for permanence and extinction of system are derived, respectively. A brief discussion is...
In this paper some easily verifiable sufficient conditions on the permanence of solutions for general nonautonomous two-species predator-prey model are established. These new criteria improve and exte...

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