Results 31 to 40 of about 8,592 (119)
Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this article, we consider two nonlinear neutral systems with multiple delays. Our main tool here is to use dichotomy theory to construct an implicit solution for these two systems. Utilizing Krasnoselskii’s fixed point theorem, we obtain sufficient criteria for the existence of periodic solutions, as well as for the uniqueness of solutions. The main
Mouataz Billah Mesmouli +5 more
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Phenotypic plasticity as a cause and consequence of population dynamics
Ecology Letters, Volume 24, Issue 11, Page 2406-2417, November 2021., 2021 We develop a novel mathematical modelling framework for representing the effects of phenotypic plasticity on populations. Applying the framework to the classical example of Nicholson's blowflies, we show how unintuitive population dynamical phenomena can emerge as a consequence of simple mechanisms of phenotypic plasticity.
Dominic P. Brass +6 more
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Dynamics in a Nonautonomous Nicholson‐Type Delay System
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 A kind of Nicholson‐type delay system is considered. Several conditions on the ultimate boundedness, extinction, permanence, periodic solution, and global attractivity of the system are established by employing the inequality techniques and comparison method and constructing suitable Lyapunov functional.
Ahmadjan Muhammadhaji +2 more
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Periodic Oscillating Dynamics for a Delayed Nicholson‐Type Model with Harvesting Terms
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this manuscript, a delayed Nicholson‐type model with linear harvesting terms is investigated. Applying coincidence degree theory, we establish a sufficient condition which guarantees the existence of positive periodic solutions for the delayed Nicholson‐type model.
Changjin Xu +3 more
wiley +1 more source
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 A linearized numerical scheme is proposed to solve the nonlinear time‐fractional parabolic problems with time delay. The scheme is based on the standard Galerkin finite element method in the spatial direction, the fractional Crank‐Nicolson method, and extrapolation methods in the temporal direction.
Lili Li +3 more
wiley +1 more source
Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment
Electronic Journal of Qualitative Theory of Differential Equations, 2022 This paper is considered with a scalar delay Nicholson's blowflies equation in periodic environments. By taking advantage of some novel differential inequality techniques and the fluctuation lemma, we set up the sharp condition to characterize the global
Xiaodan Ding
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Communications on Pure and Applied Analysis, 2019 This paper mainly investigates a class of almost periodic Nicholson's blowflies model involving a nonlinear density-dependent mortality term and time-varying delays.
Chuangxia Huang, Hua Zhang, Lihong Huang
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AIMS Mathematics, 2020 This paper investigates a patch structure Nicholson’s blowflies model involving multiple pairs of different time-varying delays. Without assuming the uniform positiveness of the death rate and the boundedness of coefficients, we establish three novel ...
Xin Long
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DYNAMICS OF A TWO-PATCH NICHOLSON'S BLOWFLIES MODEL WITH RANDOM DISPERSAL
Journal of Applied Analysis & Computation, 2022 Summary: The global dynamics of the Nicholson's blowfly reaction-diffusion model with zero Dirichlet boundary condition is less understood. In this paper, we provide a discrete version of diffusive Nichlson's blowflies equation with zero Dirichlet boundary condition. Local and global stability of the equilibria are obtained by some comparison arguments,
Liu, Houfu, Cong, Yuanyuan, Su, Ying
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Global existence of positive periodic solutions of a general differential equation with neutral type
Advances in Difference Equations, 2021 In this paper, the dynamics of a general differential equation with neutral type are investigated. Under certain assumptions, the stability of positive equilibrium and the existence of Hopf bifurcation are obtained by analyzing the distribution of ...
Ming Liu, Jun Cao, Xiaofeng Xu
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