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6 results

1. Dynamical behaviours of a delayed diffusive eco-epidemiological model with fear effect.

Author

Liu, Jia, Cai, Yongli, Tan, Jing, and Chen, Yeqin

Subjects
*HOPF bifurcations, *MATHEMATICAL analysis, *SPATIAL systems, *NUMERICAL analysis, *COMPUTER simulation
Abstract

This paper concerned with a delayed diffusive eco-epidemiological model with fear effect. First, we discuss the existence and boundedness of the solution of the system. Then we give some conditions for the existence and stability of the nonnegative equilibria, and Turing instability. Furthermore, we choose the delay as bifurcation parameter to study Hopf bifurcation. Finally, we present some numerical simulations to verify our theoretical results. By mathematical and numerical analyses, we find that the fear can prevent the occurrence of limit cycle oscillation and increase the stability of the system, and the diffusion can induce the spatial pattern in the system. • We propose a delayed diffusive eco-epidemiological model with fear effect. • We have studied Hopf bifurcation and Turing bifurcation of the model. • We have discussed the global stability of the equilibria. • The results show that system can generate a wide variety of spatial patterns. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Global stability of a multi-group SEI model.

Author

Xue, Yakui, Yuan, Xinpeng, and Liu, Maoxing

Subjects
*GLOBAL asymptotic stability, *GROUP theory, *MATHEMATICAL variables, *NUMERICAL analysis, *MATHEMATICAL models, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, a multi-group SEI model with the bilinear incidence and variable susceptibility and infectivity is analyzed. The susceptible individuals are divided into n groups according to their susceptibility, and infected individuals are divided into m groups according to infectivities. Each group of infected individuals has an exposed period. The basic reproduction number is obtained, and globally asymptotic stability of disease-free equilibrium is proved if . If , the disease-free equilibrium is unstable and the endemic equilibrium exists and is unique, which is globally asymptotically stable. Finally, some numerical examples are given to illustrate the above analysis. [Copyright &y& Elsevier]

Published
2014
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3. Global stability and stabilization of switched Boolean network with impulsive effects.

Author

Chen, Hao and Sun, Jitao

Subjects
*STABILITY theory, *SWITCHING theory, *BOOLEAN functions, *MATHEMATICAL forms, *MATHEMATICAL analysis, *NUMERICAL analysis
Abstract

Abstract: The present paper investigates the global stability and stabilization of switched Boolean network with impulsive effects. By using the semi-tensor product, the algebraic form of the switched Boolean network with impulsive effects is obtained. Then, sufficient and necessary condition is presented for the global stability of the switched Boolean network with impulsive effects. Furthermore, sufficient and necessary conditions are provided for the stabilization of the switched Boolean network with impulsive effects under two types of controls. Finally, examples are presented to illustrate the main results. [Copyright &y& Elsevier]

Published
2013
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4. Stability analysis of one-leg methods for nonlinear functional differential and functional equations

Author

Yu, Yuexin and Wen, Liping

Subjects
*NUMERICAL solutions to functional equations, *NUMERICAL solutions to nonlinear differential equations, *STABILITY (Mechanics), *ASYMPTOTIC expansions, *GLOBAL analysis (Mathematics), *NUMERICAL analysis, *MATHEMATICAL analysis
Abstract

Abstract: This paper is concerned with the numerical solution of nonlinear functional differential and functional equations. The adaptation of one-leg methods is considered. It is proved that an A-stable one-leg method is globally stable and a strongly A-stable one-leg method is asymptotically stable under suitable conditions. A numerical test is given to confirm the theoretical results. [ABSTRACT FROM AUTHOR]

Published
2010
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5. A conjecture on the stability of the periodic solutions of Ricker’s equation with periodic parameters

Author

Sacker, Robert J. and von Bremen, Hubertus F.

Subjects
*STABILITY (Mechanics), *PARAMETER estimation, *NUMERICAL solutions to difference equations, *EXISTENCE theorems, *NUMERICAL analysis, *MATHEMATICAL analysis
Abstract

Abstract: In this work, we propose a conjecture about the stability of the periodic solutions of the Ricker equation with periodic parameters, which goes beyond the existing theory, and for the special case of period-two parameters we analytically show the conjecture is true. For this case we show that the stability region in parameter space obtained from the conjecture is larger than a previously proposed stability region. The period-three case is investigated numerically and similar extensions are realized. This suggests that the current theory cited in this paper, while giving sufficient conditions for stability is far from optimal. [ABSTRACT FROM AUTHOR]

Published
2010
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6. Analysis of stability and bifurcation for an SEIR epidemic model with saturated recovery rate

Author

Zhou, Xueyong and Cui, Jingan

Subjects
*BIFURCATION theory, *MATRICES (Mathematics), *GEOMETRIC analysis, *NUMERICAL analysis, *INFORMATION resources, *MATHEMATICAL analysis
Abstract

Abstract: In this paper we study an SEIR epidemic model with saturated recovery rate. A backward bifurcation leading to bistability possibly occurs, and global dynamics are shown by compound matrices and geometric approaches. Numerical simulations are presented to illustrate the results. [Copyright &y& Elsevier]

Published
2011
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