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

2014 ◽  
Vol 37 (1) ◽  
pp. 157-173 ◽  
Author(s):  
Bingwen Liu
Keyword(s):  
Periodic Solutions ◽  
Positive Periodic Solutions ◽  
Density Dependent ◽  
Nicholson’S Blowflies Model ◽  
Density Dependent Mortality ◽  
Dependent Mortality

scholarly journals Positive Periodic Solutions of Nicholson-Type Delay Systems with Nonlinear Density-Dependent Mortality Terms

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Wei Chen ◽  
Lijuan Wang
Keyword(s):  
Numerical Simulation ◽  
Periodic Solutions ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Coincidence Degree Theory ◽  
Delay Systems ◽  
Positive Periodic Solutions ◽  
Density Dependent ◽  
Density Dependent Mortality ◽  
Dependent Mortality

This paper is concerned with the periodic solutions for a class of Nicholson-type delay systems 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 and a numerical simulation are given to illustrate our main results.

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.

scholarly journals On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Rajendiran Eswari ◽  
Jehad Alzabut ◽  
Mohammad Esmael Samei ◽  
Hui Zhou
Keyword(s):  
Periodic Solutions ◽  
Sufficient Conditions ◽  
Coincidence Degree ◽  
Positive Periodic Solution ◽  
Dual System ◽  
Positive Periodic Solutions ◽  
Density Dependent ◽  
Density Dependent Mortality ◽  
Graphical Simulation ◽  
Coincidence Degree Theorem

AbstractIn this study, we discuss the existence of positive periodic solutions of a class of discrete density-dependent mortal Nicholson’s dual system with harvesting terms. By means of the continuation coincidence degree theorem, a set of sufficient conditions, which ensure that there exists at least one positive periodic solution, are established. A numerical example with graphical simulation of the model is provided to examine the validity of the main results.

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