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| 1 | GLOBAL ASYMPTOTIC STABILITY OF THE PERIODIC LOTKA-VOLTERRA SYSTEM WITH TWO-PREDATORS AND ONE-PREY显示文摘GLOBALASYMPTOTICSTABILITYOFTHEPERIODICLOTKA-VOLTERRASYSTEMWITHTWO-PREDATORSANDONE-PREYLUZHONGHUAANDCHENLANSUN(InstituteofMath... | LUZHONGHUA CHENLANSUN | 1995 | Applied Mathematics(A Journal of Chinese Universities)1995，10，3： | 15 |
| 2 | OPTIMAL HARVESTING POLICY AND STABILITY FOR SINGLE-SPECIES GROWTH MODEL WITH STAGE STRUCTURE显示文摘Abstract. In this paper, we consider a stage structure population model with two lifestages, immature and mature, with harvesting mature population and stocking immaturepopulation. It is shown that under suitable hypotheses there exists a globally asymptoti-cally stable positive equilibrium. The effect of the delay on the populations at equilibriumand the optimal harvesting policy for mature population are also considered. | SONGXinyu CHENLansun | 2002 | Journal of Systems Science & Complexity2002，15，2： | 10 |
| 3 | ON AN SIS EPIDEMIC MODEL WITH STAGE STRUCTURE显示文摘A SIS infectious disease model with stage structure consisting of immature and mature stages is proposed using a discrete time delay. The aim of the paper is to investigate under which conditions the disease becomes endemic or not and to find the difference between the model with stage structure and the corresponding model without stage structure. It is shown that either there exists a unique endemic equilibrium point which is globally asymptotically stable or the disease dies out by using an iterative scheme. The effect of the time delay on the populations at equilibria is considered. | XIAOYanni CHENLansun | 2003 | Journal of Systems Science & Complexity2003，16，2： | 8 |
| 4 | UNIFORM PERSISTENCE AND GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS COMPETITIVE SYSTEMS WITH DISPERSION显示文摘In this paper,we consider a nonautonomous competitive model with dispersion and a finite number of discrete delays.The system,which consists of two lotka-Volterra patches,has two competitors:one can disperse between the two patches,but the other is confined to one patch and coannot disperse.Our purpose is to demonstrate that the dispersion rates have no effect on the uniform persistence of the solutions of the system.Furthermore,we establish the conditions under which the system admits a positive periodic solution which attracts all solutions. | SONGXinyu CHENLansun | 2002 | Journal of Systems Science & Complexity2002，15，3： | 7 |
| 5 | GLOBAL TOPOLOGICAL PROPERLIES OF HOMOGENEOUS VECTOR FIELDS IN R显示文摘In this paper, the authors prove that the flows of homogeneous vector field Q(x) at infinityare topologically equivalent to the flows of the tangent vector field QT(u) (u∈S2) on thesphere S2, and show the theorems for the global topological classification of Q(x). They derivethe necessary and sufficient conditions for the global asymptotic stability and the boundednessof vector field Q(x), and obtain the criterion for the global topological equivalence of twohomogeneous vector fields. | ZHANGX1NAN CHENLANSUN LIANGZHAOJUN | 1999 | Chinese Annals of Mathematics,Series B1999，20，2： | 4 |
| 6 | A delayed SIRS epidemic model with pulse vaccination显示文摘 | Pang Guoping ChenLansun | 2007 | Science Direct Chaos Solitons andFractals2007，34，： | 1 |
| 7 | OPTIMAL HARVESTING AND STABILITY FOR FISHING MODELS WITH STAGE STRUCTURE IN INSHORE-OFFSHORE AREAS显示文摘A fishing model with stage structure in inshore and offshore areas is considered.Steady states of the dynamical system representing fishery are derived and their local,as well as global,stability is discussed.The optimal harvest policy is formulated and solved as an optimal control problem.A numerical example is given to illustrate the solution procedure. | LuZhonghua ChiXuebin ChenLansun | 2003 | Applied Mathematics(A Journal of Chinese Universities)2003，18，2： | 0 |
| 8 | THE PERIODIC HOLLING Ⅱ PREDATOR-PREY MODEL WITH IMPULSIVE EFFECT显示文摘In this paper, a periodic Holling Ⅱ predator-prey model with impulsive effect is investigated. By applying the Floquet theory of linear periodic impulsive equation,some sufficient conditions are obtained for the linear stability and instability of trivial and semi-trivial periodic solutions. Moreover, we use standard bifurcation theory to show the existence of coexistence states which arise near the semi-trivial periodic solution. As an application, we also examine some special case of the system to confirm our main results. | ZHANGYujuan CHENLansun LIUBing | 2004 | Journal of Systems Science & Complexity2004，17，4： | 0 |
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