This paper studies the asymptotic behavior of a predator-prey model with stage structure. It is found that an orbitally asymptotically stable periodic- orbit exists in that model. When time delay due to gestation of predator and time delay from crowding effect of prey are incorporated, we establish the condition for the permanence of populations and sufficient conditions under which positive equilibrium of the model is globally stable.
机构:
School of Mathematics and Statistics, Lanzhou University, Lanzhou
Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou, 730000, Gansu ProvinceSchool of Mathematics and Statistics, Lanzhou University, Lanzhou
Ma Z.
Wang S.
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机构:
School of Mathematics and Computer Science, Northwest University for Nationalities, LanzhouSchool of Mathematics and Statistics, Lanzhou University, Lanzhou
机构:
Banaras Hindu Univ, Fac Sci, DST Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, IndiaBanaras Hindu Univ, Fac Sci, DST Ctr Interdisciplinary Math Sci, Varanasi 221005, Uttar Pradesh, India