Nonlinear Density-dependent Mortality Term Research Articles

Stability for patch structure Nicholson’s blowflies systems involving distinctive maturation and feedback delays

ABSTRACT This article explores a class of patch structure Nicholson’s blowflies systems involving nonlinear density-dependent mortality terms and multiple pairs of distinctive maturation and feedback delays. By utilising the fluctuation lemma and differential inequality techniques, a delay-dependent criterion on the global asymptotic stability of the addressed systems is established, which refines and complements some existing ones. In addition, the numerical simulations verify the efficacy and accuracy of the obtained findings.

New results on global asymptotic stability for a nonlinear density-dependent mortality Nicholson\u2019s blowflies model with multiple pairs of time-varying delays

This paper is concerned with a class of Nicholson’s blowflies model involving nonlinear density-dependent mortality terms and multiple pairs of time-varying delays. By using differential inequality techniques and the fluctuation lemma, we establish a delay-independent criterion on the global asymptotic stability of the addressed model, which improves and complements some existing ones. The effectiveness of the obtained result is illustrated by some numerical simulations.

Global convergence dynamics of almost periodic delay Nicholson's blowflies systems

We take into account nonlinear density-dependent mortality term and patch structure to deal with the global convergence dynamics of almost periodic delay Nicholson's blowflies system in this paper. To begin with, we prove that the solutions of the addressed system exist globally and are bounded above. What's more, by the methods of Lyapunov function and analytical techniques, we establish new criteria to check the existence and global attractivity of the positive asymptotically almost periodic solution. In the end, we arrange an example to illustrate the effectiveness and feasibility of the obtained results.

Stability of Almost Periodic Nicholson’s Blowflies Model Involving Patch Structure and Mortality Terms

AbstractTaking into account the effects of patch structure and nonlinear density-dependent mortality terms, we explore a class of almost periodic Nicholson’s blowflies model in this paper. Employing the Lyapunov function method and differential inequality technique, some novel assertions are developed to guarantee the existence and exponential stability of positive almost periodic solutions for the addressed model, which generalize and refine the corresponding results in some recently published literatures. Particularly, an example and its numerical simulations are arranged to support the proposed approach.

Periodicity on Nicholson’s blowflies systems involving patch structure and mortality terms

ABSTRACTIn this paper, we investigate a class of delayed Nicholson’s blowflies systems with patch structure and nonlinear density-dependent mortality terms. By using differential inequality approach and Lyapunov function method, some criteria are established for the existence, uniqueness and exponential stability of positive periodic solutions for the addressed systems. Finally, we give a numerical example to illustrate the effectiveness and feasibility of the obtain results.

New stability theorem for periodic Nicholson’s model with mortality term

This article mainly explores a class of non-autonomous delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term. By combining Lyapunov function method with differential inequality approach, some novel assertions are gained to guarantee the existence and exponential stability of positive periodic solutions for the addressed model, which generalize and refine the corresponding results in some recent published literature.

Global attractivity of positive periodic solution of a delayed Nicholson model with nonlinear density-dependent mortality term

Global attractivity of positive periodic solution of a delayed Nicholson model with nonlinear density-dependent mortality term

Almost periodicity analysis for a delayed Nicholson's blowflies model with nonlinear density-dependent mortality term

This paper mainly investigates a class of almost periodic Nicholson's blowflies model involving a nonlinear density-dependent mortality term and time-varying delays. Combining Lyapunov function method and differential inequality approach, some novel assertions are established to guarantee the existence and exponential stability of positive almost periodic solutions for the addressed model, which generalize and refine the corresponding results in some recent published literatures. Particularly, an example and its numerical simulations are given to support the proposed approach.

Global attractivity of asymptotically almost periodic Nicholson’s blowflies models with a nonlinear density-dependent mortality term

This paper focuses on the study of a class of asymptotically almost periodic Nicholson’s blowflies models with a nonlinear density-dependent mortality term. By virtue of differential inequality techniques, a set of easily verifiable sufficient conditions are established to show that every solution of the considered model is asymptotically almost periodic, and it also converges to a same almost periodic function as [Formula: see text], which improves and supplements some previously known researches. Moreover, a numerical example is given to test the feasibility and effectiveness of the obtained results.

Pseudo almost periodic dynamics of impulsive Nicholson’s blowflies model with nonlinear density-dependent mortality term

In this paper, a class of impulsive Nicholson’s blowflies model with linear harvesting term and nonlinear density-dependent mortality term is concerned. Under proper conditions, some criteria are established for the existence, uniqueness and exponentially stable of the piecewise weighted pseudo almost periodic solution for the model. Moreover, an example is given to illustrate the significance of the main findings.

GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR NICHOLSON’S BLOWFLIES SYSTEM WITH NONLINEAR DENSITY-DEPENDENT MORTALITY TERMS AND PATCH STRUCTURE

This paper considers a generalized Nicholson’s blowflies system with nonlinear density-dependent mortality terms and patch structure. Under appropriate conditions, we establish some criteria to ensure that the solutions of this system exist and converge globally exponentially to a positive almost periodic solution. The results complement another case of nonlinear density-dependent mortality terms in Chen and Wang [5].

Delay effect in the Nicholson's blowflies model with a nonlinear density-dependent mortality term

Delay effect in the Nicholson's blowflies model with a nonlinear density-dependent mortality term

Global asymptotic stability for Nicholson’s blowflies model with a nonlinear density-dependent mortality term

In this paper, we study a generalized Nicholson’s blowflies model with a nonlinear density-dependent mortality term, which is defined on the nonnegative function space. Under proper conditions, we employ a novel proof to establish some criteria to guarantee the global asymptotic stability of the zero equilibrium point for this model. Moreover, we give an example and its numerical simulation to illustrate our main results.

Almost periodic solutions for a delayed Nicholson’s blowflies system with nonlinear density-dependent mortality terms and patch structure

We study positive almost periodic solutions for a delayed Nicholson’s blowflies system with nonlinear density-dependent mortality terms and patch structure. By applying the differential inequality technique and the Lyapunov functional, we derive sufficient conditions for the existence and global exponential stability of positive almost periodic solutions. We also give an example and its numerical simulations to support the theoretical effectiveness.

EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF POSITIVE ALMOST PERIODIC SOLUTIONS FOR A DELAYED NICHOLSON'S BLOWFLIES MODEL

This paper concerns with a class of delayed Nicholson's blowflies model with a nonlinear density-dependent mortality term. Under appropriate conditions, we establish some criteria to ensure that the solutions of this model converge globally exponentially to a positive almost periodic solution. Moreover, we give some examples and numerical simulations to illustrate our main results.

Positive periodic solutions for a nonlinear density-dependent mortality Nicholson's blowflies model

This paper is concerned with a class of Nicholson's blowflies model with a nonlinear density-dependent mortality term. Under appropriate conditions, we establish some criteria to ensure that the solutions of this model converge globally exponentially to a positive periodic solution. Moreover, we give an example and its numerical simulation to illustrate our main results.

Almost periodic solutions for a delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term

A delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term is studied in this paper. Some sufficient conditions are obtained to guarantee the existence and global exponential stability of positive almost periodic solutions of this model. An example with numerical simulations is given to illustrate our main results.

Periodic solutions for Nicholson-type delay system with nonlinear density-dependent mortality terms

This paper is concerned with the periodic solutions for a class of new Nicholson-type delay system with nonlinear density-dependent mortality terms. By using coincidence degree theory, some criteria are obtained to guarantee the existence of positive periodic solutions of the model. Moreover, an example is employed to illustrate the main results.

Permanence and periodic solutions for a class of delay Nicholson’s blowflies models

This paper covers the dynamic behaviors for a class of Nicholson’s blowflies models with a nonlinear density-dependent mortality term. By using inequality analyze technique and coincidence degree theory, some sufficient conditions are determined that guarantee the permanence of the model and the existence of positive periodic solutions. Moreover, we give an example to illustrate our main results.

Permanence for Nicholson-type delay systems with patch structure and nonlinear density-dependent mortality terms

In this paper, we study the Nicholson-type delay systems with patch structure and nonlinear density-dependent mortality terms. Under appropriate conditions, we establish some criteria to ensure the permanence of this model. Moreover, we give some examples to illustrate our main results.