论文信息 - On the Stability of Periodic Solutions of an Impulsive System Arising in the Control of Agroecosystems

On the Stability of Periodic Solutions of an Impulsive System Arising in the Control of Agroecosystems

The main objective is to study the stability of the periodic solutions of an impulsive system arising in the modeling of the use of spiders as biological agents against pest crops. The abstract functional analytic mathematical framework is suitably set up and used for the scope.

[1] Abdelkader Lakmeche,et al. Nonlinear mathematical model of pulsed-therapy of heterogeneous tumors , 2001 .

[2] BIFURCATION OF NONTRIVIAL PERIODIC SOLUTIONS FOR PULSED CHEMOTHERAPY MODEL , 2014 .

[3] B. Wood. DEVELOPMENT OF INTEGRATED CONTROL PROGRAMS FOR PESTS OF TROPICAL PERENNIAL CROPS IN MALAYSIA , 1971 .

[4] Paul C. Jepson,et al. A model for the spatial dynamics of linyphiid spiders in farmland , 1996 .

[5] V. Lakshmikantham,et al. Theory of Impulsive Differential Equations , 1989, Series in Modern Applied Mathematics.

[6] S. Riechert,et al. Prey Control by an Assemblage of Generalist Predators: Spiders in Garden Test Systems , 1990 .

[7] W. Edgar. Prey and predators of the Wolf spider Lycosa lugubris , 2009 .

[8] D. H. Morse,et al. Experimental and Observational Studies of Patch Choice at Different Scales by the Crab Spider Misumena Vatia , 1982 .

[9] Ezio Venturino,et al. Biological controls of intensive agroecosystems: Wanderer spiders in the Langa Astigiana , 2008 .

[10] D. Baĭnov,et al. Systems with impulse effect : stability, theory, and applications , 1989 .

[11] Ezio Venturino,et al. Modelling the spiders ballooning effect on the vineyard ecology , 2006 .