Global dynamics of the periodic logistic system with periodic impulsive perturbations
By Xianning Liu, Lansun Chen. 2004
97 citations recorded by the source corpus.
This paper studies the global behaviors of the periodic logistic system with periodic impulsive perturbations. The results of D.D. Bainov and P.S. Simeonov (1993) are extended and dynamics different from the corresponding continuous system are found. It is shown that the system may have a unique positive periodic solution which is globally asymptotically stable, or go extinct when the two periods are rational dependent. When they are rational independent, the system has no periodic solutions, however, still has a global attractor or go extinct under some conditions.
Subfields: Applied Mathematics, Geometry and Topology, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/29d1652744e222efd47adf4f2a78f3c42328cc46
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In Geometry and Topology
In Public Health, Environmental and Occupational Health
Citations in the corpus
- An integrated pest management model with delayed responses to pesticide applications and its threshold dynamics (2012, background): “Recently, many impulsive differential equation models or hybrid dynamical systems have been proposed tomodel the introduction of a periodic IPM strategy [1,11–21] such as periodic spraying of pesticides [22] or releases of natural enemies at a critical time [23,24].”