Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy

By Bing Liu, Zhidong Teng, Lansun Chen. 2006

140 citations recorded by the source corpus.

According to biological and chemical control strategy for pest control, we investigate the dynamic behavior of a Holling II functional response predator-prey system concerning impulsive control strategy-periodic releasing natural enemies and spraying pesticide at different fixed times. By using Floquet theorem and small amplitude perturbation method, we prove that there exists a stable pest-eradication periodic solution when the impulsive period is less than some critical value. Further, the condition for the permanence of the system is also given. Numerical results show that the system we consider can take on various kinds of periodic fluctuations and several types of attractor coexistence and is dominated by periodic, quasiperiodic and chaotic solutions, which implies that the presence of pulses makes the dynamic behavior more complex. Finally, we conclude that our impulsive control strategy is more effective than the classical one if we take chemical control efficiently.

Subfields: Computer Networks and Communications, Genetics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/5e9ab17ad3d65584f9989ad5b9304236d03e77d9

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Citations in the corpus

• Complex dynamic behaviors of a discrete-time predator-prey system (2017, background): “There are also many other predator-prey models of various types that have been extensively investigated and some of the relevant work may be found in [6, 14, 15, 17].”