Dynamic complexities in ratio-dependent predator-prey ecosystem models with birth pulse and pesticide pulse. (English) Zbl 1065.92060


92D40 Ecology
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C28 Complex behavior and chaotic systems of ordinary differential equations
37N25 Dynamical systems in biology
Full Text: DOI


[1] DOI: 10.1073/pnas.90.24.11698
[2] DOI: 10.1016/S0022-5193(89)80211-5
[3] DOI: 10.1086/285286
[4] DOI: 10.2307/1940007
[5] Bainov D. D., System with Impulsive Effect: Stability, Theory and Applications (1989)
[6] Beirne B. P., Pest Management (1969)
[7] DOI: 10.2307/1940005
[8] Carson R., Silent Spring (1962)
[9] Collet P., Iterated Maps of the Interval as Dynamical Systems (1980) · Zbl 0458.58002
[10] Debach P., Biological Control by Natural Enemies (1974)
[11] Eckmann J. P., Chaotic Behaviour of Deterministic Systems (1983)
[12] M. L. Flint, Integrated Pest Management for Walnuts () p. 3641.
[13] DOI: 10.2307/1940008
[14] Hanski I., TREE 6 pp 141–
[15] Jury E. I., Inners and Stability of Dynamic System (1974) · Zbl 0307.93025
[16] Lakmeche A., Dyn. Contin. Discr. Impul. Syst. 7 pp 165–
[17] DOI: 10.1142/0906
[18] DOI: 10.1007/BF02460591 · Zbl 0859.92014
[19] Shulgin B., Bull. Math. Biol. 60 pp 1–
[20] J. C. Van Lenteren, Integrated Pest Management, ed. D. Dent (Chapman & Hall, London, 1995) pp. 311–320.
[21] Vanden Bosch R., The Pesticide Conspiracy (1978)
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