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Global attractivity of Nicholson's blowflies system with patch structure and multiple pairs of distinct time-varying delays

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International Journal of Biomathematics 2023年第3期16卷 1-21页

作者： Xiaodan Ding School of Mathematics and Statistics Changsha University of Science and Technology Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha 410114 HunanP.R.China

This paper is intended to investigate a class of Nicholson's blowflies system with patch structure and multiple pairs of distinct time-varying delays,we are interested in finding the infuence of the distinct time-varying delays in the same reproductive function on its asymptotic *** using the theory of functional differential equations,the fluctuation lemma,and the technique of differential inequalities,some new delay-dependent criteria on the global attractivity of the positive equilibrium point are *** addition,the effectiveness and feasibility of the theoretical achievements are illustrated by some numerical simulations.

关键词： Nicholson's blowflies system global attractivity positive equilibrium point patch structure distinct time-varying delays

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On the Asymptotic Stability of Discrete Crocodilians Model

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Advances in Pure Mathematics 2023年第5期13卷 211-225页

作者： Kaori Saito Yoshihiro Hamaya Meise University Tokyo Japan Okayama University of Science Okayama Japan

The sex ratio of crocodiles is strongly biased towards females, often as high as 10 females to 1 male. In crocodilians, the temperature of egg incubation is the environmental factor determining sex. If the temperature is low, around 30˚C, the hatchlings are all females. Higher temperature, around 34˚C, hatch all males. This study was made to consider the asymptotic stability of a positive equilibrium point in a nonlinear discrete model of the basic nesting population model, which is described in three-region depending on the temperature of egg incubation. This model is based on key life-historical data and Murray’s research. To study above, we have applied the classical linearization method and P. Cull’s method and moreover, we employ non-standard discretization methods for later our Equations (6)-(8) and (15).

关键词： Asymptotic Stability Crocodilians Population Model positive equilibrium point

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Stability analysis and bifurcation control of generalized phytoplankton—zooplankton system

Stability analysis and bifurcation control of generalized ph...

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2011 Chinese Control and Decision Conference（CCDC）

作者： Qingling Zhang is with the Institute of system science,Northeastern University,Shenyang,China.Yugen Chang is with the Institute of system science,Northeastern University,Shenyang,China.Hong Niu is with the Institute of system science,Northeastern University,Shenyang,China.Chao Liu is with the Department of Information and Computational Science,Northeastern University at Qinhuangdao,Qinhuangdao,China.

In this article,a generalized Biological dynamical model of algal blooms is *** mathematical model consists of non-toxic phytoplankton,toxin producing phytoplankton,zooplankton with the economic values and harvest effort on *** accordance with the knowledge of nonlinear dynamic system theory,differential-algebraic system theory and control theory investigates the stability of the model around the boundary equilibrium points and unique interior equilibrium point,and studies the dynamical behavior of the system near the positive equilibrium point and its control ***,using MATLAB software,numerical simulation illustrates the accuracy of the results.

关键词： Differential-algebraic system positive equilibrium point Jacobian matrix

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