Nonexistence of limit cycles in two classes of predator–prey systems

Aghajani, Asadollah; Moradifam, Amir

doi:10.1016/j.amc.2005.07.057

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Cited by 3 publications

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“…The autonomous ODE models parallel to system (1.1) and its special cases have been extensively studied and seen great progress [1,8,9,11,12,14,17]. Fan and Wang [3], Ye et al [18], Hu et al [10] and Zhao [19] considered some special cases of system (1.1), and established verifiable criteria for the existence of positive periodic solutions.…”

Section: T X(t) Y T − τ (T) Y (T) = Y(t) −D(t) + H T X T − σ (T) mentioning

confidence: 99%

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Positive periodic solutions in delayed Gause-type predator–prey systems

Ding

Jiang

2008

Journal of Mathematical Analysis and Applications

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Section: T X(t) Y T − τ (T) Y (T) = Y(t) −D(t) + H T X T − σ (T) mentioning

confidence: 99%

“…1) where x and y are the prey and the predator population size, respectively. The function f (t, v) is the growth rate of the prey in the absence of the predator.…”

Section: T X(t) Y T − τ (T) Y (T) = Y(t) −D(t) + H T X T − σ (T) mentioning

confidence: 99%