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Global asymptotic behavior for the competing predators of the Ivlev types. (English) Zbl 1037.92029
Summary: This paper deals with the question of global asympotic behavior of competing predators of Ivlev type [see J. Sugie, J. Math. Anal. Appl. 217, 349–371 (1998; Zbl 0894.34025); R. E. Kovij and A. Zegeling, ibid. 198, 473–489 (1996; Zbl 0851.34030)]. We have analysed the global stability of the equilibrium of this system and proved that the competitive exclusion principle holds for it. Furthermore, we discussed the biological sense of the main results.
MSC:
92D25Population dynamics (general)
34C60Qualitative investigation and simulation of models (ODE)
34D05Asymptotic stability of ODE
34D23Global stability of ODE