scholarly journals New results on global asymptotic stability for a nonlinear density-dependent mortality Nicholson’s blowflies model with multiple pairs of time-varying delays

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Qian Cao ◽  
Guoqiu Wang ◽  
Hong Zhang ◽  
Shuhua Gong
Keyword(s):  
Asymptotic Stability ◽  
Global Asymptotic Stability ◽  
Differential Inequality ◽  
Time Varying ◽  
Density Dependent ◽  
Nicholson’S Blowflies Model ◽  
Density Dependent Mortality ◽  
Inequality Techniques ◽  
Independent Criterion ◽  
Dependent Mortality

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

2018 ◽  
Vol 11 (06) ◽  
pp. 1850079 ◽  
Author(s):  
Yi Tang ◽  
Shenglan Xie
Keyword(s):  
Differential Inequality ◽  
Global Attractivity ◽  
Sufficient Conditions ◽  
Almost Periodic Function ◽  
Almost Periodic ◽  
Density Dependent ◽  
Density Dependent Mortality ◽  
Inequality Techniques ◽  
Asymptotically Almost Periodic ◽  
Dependent Mortality

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.

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

2019 ◽  
Vol 63 (2) ◽  
pp. 405-422 ◽  
Author(s):  
Chuangxia Huang ◽  
Xin Long ◽  
Lihong Huang ◽  
Si Fu
Keyword(s):  
Differential Inequality ◽  
Function Method ◽  
Almost Periodic ◽  
Patch Structure ◽  
Nicholson’S Blowflies Model ◽  
Density Dependent Mortality ◽  
Lyapunov Function Method ◽  
Inequality Technique ◽  
Positive Almost Periodic Solutions ◽  
Dependent Mortality

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.

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