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Cited by 11 publications
(7 citation statements)
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“…For example, time delay can destroy the stability of the positive equilibrium. The obtained results showed that delayed differential equations exhibited more complex dynamical properties than ordinary differential equations [8][9][10][11][12][13][14]. Du et al [10] gave the following model: ⎧ ⎨ ⎩ẋ = x(t)(r 1 (t) -b 1 (t)x(t -τ (t))) -c 1 (t)x 2 (t) x 2 (t)+k 2 y m (t), y = y(t)(-r 2 (t) -b 2 (t)y(t)) + c 2 (t)x 2 (t)…”
Section: Introductionmentioning
confidence: 94%
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“…For example, time delay can destroy the stability of the positive equilibrium. The obtained results showed that delayed differential equations exhibited more complex dynamical properties than ordinary differential equations [8][9][10][11][12][13][14]. Du et al [10] gave the following model: ⎧ ⎨ ⎩ẋ = x(t)(r 1 (t) -b 1 (t)x(t -τ (t))) -c 1 (t)x 2 (t) x 2 (t)+k 2 y m (t), y = y(t)(-r 2 (t) -b 2 (t)y(t)) + c 2 (t)x 2 (t)…”
Section: Introductionmentioning
confidence: 94%
“…The dynamical property of a multispecies predator-prey system is much more complex than the system with only two or three species, and the analytical methods are very different [11,[20][21][22].…”
Section: Introductionmentioning
confidence: 99%
“…These processes are subject to short-term perturbations whose duration is negligible in comparison with the duration of the process. Thus, models involving impulsive effects seem to be a hot research field (see [5][6][7][8]), which could describe the real relationship among the species more accurately. On the other hand, when prey-predator system is referred, sometimes there is a digest and absorption time (which is always called the digest delay) during the predation instead of transforming the food into growth rate immediately.…”
Section: Introductionmentioning
confidence: 99%
“…By using Mawhin continuation theorem, the authors derived the sufficient conditions of the existence of positive periodic solution. However, in addition to periodic behavior, a hallmark of observed population densities is their permanent and stable behaviors [4][5][6][7][8]. Then, it is necessary to discuss the permanent and stable behaviors of (1) with initial conditions (2).…”
Section: Introductionmentioning
confidence: 99%