Sufficient conditions are established for the permanence in a delayed Nicholson’s blowflies model with feedback control on time scales. Our investigation confirms that the bounded feedback terms do not have any influence on the permanence of this system.
Lin-Lin Wang, Yong-Hong Fan
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The stability and Hopf bifurcation of the diffusive Nicholson’s blowflies model in spatially heterogeneous environment [PDF]
In this paper, we consider the diffusive Nicholson’s blowflies model in spatially heterogeneous environment when the diffusion rate is large. We show that the ratio of the average of the maximum per capita egg production rate to that of the death rate ...
D. Huang, Shanshan Chen
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Oscillation and global attractivity in a periodic Nicholson's blowflies model
Here, the authors consider the following nonlinear delay differential equation \[ N'(t)=-\delta N(t)+P(t)N(t-m\omega)e^{-\alpha N(t-n\omega)},\tag{*} \] where \(m\) is a positive integer, \(\delta(t)\) and \(P(t)\) are positive \(\omega\)-periodic functions.
S. Saker, S. Agarwal
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This paper is concerned with a non-autonomous delayed Nicholson's blowflies model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential convergence of the zero equilibrium ...
Zhiwen Long
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Positive periodic solutions of delayed Nicholson's blowflies model with a linear harvesting term
This paper is concerned with a class of Nicholson's blowflies model with a linear harvesting term. By applying the method of coincidence degree, some criteria are established for the existence and uniqueness of positive periodic solutions of the model.
Mingquan Yang, Fei Long
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New results on periodic solutions of delayed Nicholson's blowflies models
This paper is concerned with a class of Nicholson's blowflies models with a nonlinear density-dependent mortality term. We use coincidence degree theory and give several sufficient conditions which guarantee the existence of positive periodic solutions ...
Xinhua Hou, Lian Duan
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Pseudo almost periodic solution of Nicholson’s blowflies model with mixed delays
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F. Chérif
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Global dynamic behaviors for a delayed Nicholson's blowflies model with a linear harvesting term
In this paper, we study a generalized Nicholson's blowflies model with a linear harvesting term, which is defined on the positive function space. Under proper conditions, we employ a novel proof to establish some criteria for the global dynamic ...
Bingwen Liu
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Delay effect in the Nicholson's blowflies model with a nonlinear density-dependent mortality term
This paper is concerned with a class of non-autonomous delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term. Under proper conditions, we prove that the positive equilibrium point is a global attractor of the addressed ...
Wanmin Xiong
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A new approach for positive almost periodic solutions to a class of Nicholson's blowflies model
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H. Ding, J. Nieto
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