Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model

Li, Wan–Tong; Fan, Yong-Hong

doi:10.1016/j.cam.2006.02.001

Cited by 44 publications

(24 citation statements)

References 20 publications

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“…Other recent work was also concerned with the effects of time delay in the continuous part of their models (e.g. Gao et al 2006Gao et al , 2007Li & Fan 2007), or those of stochasticity (Wagner & Earn 2008).…”

Section: Resultsmentioning

confidence: 99%

A note on semi-discrete modelling in the life sciences

Mailleret

Lemesle

2009

Phil. Trans. R. Soc. A.

100

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Semi-discrete models are a particular class of hybrid dynamical systems that undergo continuous dynamics most of the time but repeatedly experience discrete changes at some given moments. In the life sciences, since the first semi-discrete model was derived to describe population dynamics by Beverton & Holt (Beverton & Holt 1957 In Fisheries investigations , series 2, vol. 19), a large body of literature has been concerned with such modelling approaches. The aim of the present contribution is twofold. On the one hand, it provides a comprehensive introduction to semi-discrete modelling through two illustrative examples: the classical work by Beverton and Holt is recalled and an original example on immigration in a population model affected by a strong Allee effect is worked out. On the other hand, a short overview of the different applications of semi-discrete models in the life sciences is proposed.

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Section: Resultsmentioning

confidence: 99%

A note on semi-discrete modelling in the life sciences

Mailleret

Lemesle

2009

Phil. Trans. R. Soc. A.

100

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“…Some authors have studied the periodicity of impulsive equations [13][14][15][16]. Also there are many works devoted to the investigation of almost periodicity for impulsive delay differential equations [17][18][19][20][21][22]. It is known that the periodically and almost periodically varying environment play important roles in many ecological and biological systems.…”

Section: Introductionmentioning

confidence: 99%

“…By employing the fixed point theorem of contraction mapping principle which is different from [21] and [22], some sufficient conditions for the existence of almost periodic solutions are provided.…”

Section: Introductionmentioning

confidence: 99%

Existence of Positive Almost Periodic Solutions for a Class of Impulsive Elay Harvesting Nicholson's Blowflies Model

Feng¹

2015

Int. J. of Pure and Appl. Math.

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“…Pei et al [6] analyzed the extinction and permanence for one-prey multi-predators of Holling type II function response system with impulsive biological control. For more knowledge about this theme, one can see [7][8][9][10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%