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Periodic traveling wave solutions of the Nicholson's blowflies model with delay and advection
Electronic Research Archive, 2023 The existence, stability and bifurcation direction of periodic traveling waves for the Nicholson's blowflies model with delay and advection are investigated by applying the Hopf bifurcation theorem, center manifold theorem as well as normal form theory ...
Dong Li, Xiaxia Wu, Shuling Yan
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, 2022 Journal of Function Spaces, Volume 2022, Issue 1, 2022.
Lili Li, Mianfu She, Yuanling Niu
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, we study the global dynamic behavior of a non-autonomous delayed Nicholson's blowflies model with a linear harvesting term. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of
Aiping Zhang
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Advances in Difference Equations, 2021 This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi +3 more
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Convergence of solutions of nonautonomous Nicholson's Blowflies model with impulses
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019 Summary: This paper deals with a nonautonomous Nicholson's blowflies model with impulses. It is shown that under the proper conditions every positive solution of the model approaches to a constant as \(t\) tends to infinity.
Demirci, Elif, Karakoç, Fatma
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Analysis of Stochastic Nicholson‐Type Delay System under Markovian Switching on Patches
Complexity, Volume 2020, Issue 1, 2020., 2020 Based on the influence of random environmental perturbations and the patch structure, we propose a stochastic Nicholson‐type delay system under Markovian switching on patches. Existence of a global positive solution is studied. Then, we show ultimate boundedness and estimation of the sample Lyapunov exponent of the solution.
Xin Yi +2 more
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Oscillation in a discrete partial delay Nicholson's Blowflies Model
Mathematical and Computer Modelling, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saker, S. H., Zhang, B. G.
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On the Stability and Uniform Persistence of a Discrete Model of Nicholson′s Blowflies
Journal of Mathematical Analysis and Applications, 1995 The authors study the behaviour of nonnegative solutions to the difference equation \[ N_{k+ 1}- N_k= - \delta N_k+ pN_{k- i} e^{- aN_{k- i}},\tag{1} \] where \(k\in \mathbb{N}\cup 0\), \(N_i\geq 0\), \(\delta\), \(a\), \(p\) are positive constants. This equation is the discrete analogue of some delay differential equation used to model the dynamics of
So, J.W.H., Yu, J.S.
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Periodic Travelling Waves of the Delayed Nicholson’s Blowflies Model with Diffusion
, 2023 In this paper, we investigate the existence of periodic travelling waves with large wave speed for the diffusion Nicholson’s blowflies model with delay effect by applying the perturbation technique. The proof depends on transforming the differential equation with the wave profile into integral equation, combining the implicit function theorem and the ...
Xiaxia Wu, Dong Li
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Global Attractivity of a Diffusive Nicholson's Blowflies Equation with Multiple Delays
Abstract and Applied Analysis, 2013 The present paper considers a diffusive Nicholson's blowflies model with multiple delays under a Neumann boundary condition. Delay independent conditions are derived for the global attractivity of the trivial equilibrium and the positive equilibrium ...
Xiongwei Liu, Xiao Wang
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