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

2018 ◽  
Vol 35 (1) ◽  
pp. 311-333 ◽  
Author(s):  
Zhinan Xia ◽  
Zihui Li ◽  
Jinliang Chai
Keyword(s):  
Almost Periodic ◽  
Density Dependent ◽  
Nicholson’S Blowflies Model ◽  
Density Dependent Mortality ◽  
Periodic Dynamics ◽  
Pseudo Almost Periodic ◽  
Dependent Mortality

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

2017 ◽  
Vol 22 (4) ◽  
pp. 484-502 ◽  
Author(s):  
Pengyan Liu ◽  
Liang Zhang ◽  
Shitao Liu ◽  
Lifei Zheng
Keyword(s):  
Periodic Solution ◽  
Global Exponential Stability ◽  
Almost Periodic Solution ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Patch Structure ◽  
Density Dependent ◽  
Density Dependent Mortality ◽  
Positive Almost Periodic Solution ◽  
Dependent Mortality

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].

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.

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