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GLOBAL STABILITY OF LARGE SOLUTIONS TO THE 3D MAGNETIC BéNARD PROBLEM: 《Acta Mathematica Scientia》2022年第2期588-610,共23页Xulong QIN Hua QIU Zheng-an YAO; supported partially by NSFC(11571380,11971497,11871230);Natural Science Foundation of GuangDong Province(2019B151502041);supported partially by NSFC(11126266);Natural Science Foundation of GuangDong Province(2016A030313390);SCAU Fund for High-level University Building;supported partially by NSFC(11971496)。; In this paper,we consider the 3D magnetic Bénard problem.More precisely,we prove that the large solutions are stable under certain conditions.And we obtain the equivalent condition with respect to this stability cond...; 关键词：Magnetic Bénard problem large solutions global stability PERTURBATIONS

GLOBAL STABILITY OF TRAVELING WAVEFRONTS FOR NONLOCAL REACTION-DIFFUSION EQUATIONS WITH TIME DELAY被引量：4: 《Acta Mathematica Scientia》2018年第1期289-302,共14页杨兆星张国宝; supported by NSF of China(11401478);Gansu Provincial Natural Science Foundation(145RJZA220); This paper is concerned with the stability of traveling wavefronts for a population dynamics model with time delay. Combining the weighted energy method and the comparison principle, the global exponential stability o...; 关键词：nonlocal reaction-diffusion equations traveling wavefronts STABILITY compari- son principle weighted energy method

GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY被引量：3: 《Acta Mathematica Scientia》2016年第4期1192-1214,共23页秦晓红王腾王益; supported by NSFC Grant No.11171153;supported by NSFC Grant No.11322106;supported by the Fundamental Research Funds for the Central Universities No.2015ZCQ-LY-01 and No.BLX2015-27; In this article, we investigate the global stability of the wave patterns with the superposition of viscous contact wave and rarefaction wave for the one-dimensional compressible Navier-Stokes equations with a free bo...; 关键词：Compressible Navier-Stokes system free boundary combination of viscous contact and rarefaction wave nonlinear stability

STABILITY ANALYSIS OF A COMPUTER VIRUS PROPAGATION MODEL WITH ANTIDOTE IN VULNERABLE SYSTEM被引量：4: 《Acta Mathematica Scientia》2016年第1期49-61,共13页Nguyen Huu KHANH Nguyen Bich HUY; We study a proposed model describing the propagation of computer virus in the network with antidote in vulnerable system. Mathematical analysis shows that dynamics of the spread of computer viruses is determined by th...; 关键词：computer virus virus-free equilibrium endemic equilibrium global stability ANTIDOTE

STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES被引量：2: 《Acta Mathematica Scientia》2016年第1期62-72,共11页M.YOUSEFNEZHAD S.A.MOHAMMADI; In this paper, a diffusive predator-prey system with general functional responses and prey-tactic sensitivities is studied. Providing such generality, we construct a Lyapunov function and we show that the positive con...; 关键词：PREDATOR-PREY global stability steady state Lyapunov function

ON GLOBAL STABILITY OF A NONRESIDENT COMPUTER VIRUS MODEL被引量：6: 《Acta Mathematica Scientia》2014年第5期1427-1445,共19页Yoshiaki MUROYA Huaixing LI Toshikazu KUNIYA; supported by Scientific Research(c),No.24540219 of Japan Society for the Promotion of Science;supported by Grant-in-Aid for Research Activity Start-up,No.25887011 of Japan Society for the Promotion of Science; In this paper, we establish new sufficient conditions for the infected equilibrium of a nonresident computer virus model to be globally asymptotically stable. Our results extend two kind of known results in recent lit...; 关键词：nonresident computer virus model PERMANENCE global asymptotic stability Lyapunov function

GLOBAL STABILITY OF EXTENDED MULTI-GROUP SIR EPIDEMIC MODELS WITH PATCHES THROUGH MIGRATION AND CROSS PATCH INFECTION被引量：7: 《Acta Mathematica Scientia》2013年第2期341-361,共21页Yoshiaki MUROYA Yoichi ENATSU Toshikazu KUNIYA; supported by Japan Society for the Promotion of Science (Grant Scientific Research (c), No. 24540219 to the first author, JSPS Fellows, No.237213 to the second author, and No. 222176 to the third author); In this article, we establish the global stability of an endemic equilibrium of multi-group SIR epidemic models, which have not only an exchange of individuals between patches through migration but also cross patch in...; 关键词：multi-group SIR epidemic model PATCH global asymptotic stability Lyapunovfunction

GLOBAL STABILITY OF SIRS EPIDEMIC MODELS WITH A CLASS OF NONLINEAR INCIDENCE RATES AND DISTRIBUTED DELAYS被引量：6: 《Acta Mathematica Scientia》2012年第3期851-865,共15页Yoichi Enatsu Yukihiko Nakata Yoshiaki Muroya; supported in part by JSPS Fellows,No.237213 of Japan Society for the Promotion of Science to the first author;the Grant MTM2010-18318 of the MICINN,Spanish Ministry of Science and Innovation to the second author;Scientific Research (c),No.21540230 of Japan Society for the Promotion of Science to the third author; In this article, we establish the global asymptotic stability of a disease-free equilibrium and an endemic equilibrium of an SIRS epidemic model with a class of nonlin- ear incidence rates and distributed delays. By u...; 关键词：SIRS epidemic model nonlinear incidence rate global asymptotic stability distributed delays Lyapunov functional

ON THE GLOBAL STABILITY CONJECTURE OF THE GENOTYPE SELECTION MODEL: 《Acta Mathematica Scientia》2011年第2期512-528,共17页S.H. Saker; the Deanship of Scientific in King Saud University and Centre of Research in Faculty of Science for their encouragements and their support; In 1994, Grove, Kocic, Ladas, and Levin conjectured that the local stability and global stability conditions of the fixed point -y= 1/2 in the genotype selection model should be equivalent. In this article, we give an...; 关键词：Local stability global stability discrete genotype selection model

STABILITY OF INNOVATION DIFFUSION MODEL WITH NONLINEAR ACCEPTANCE被引量：5: 《Acta Mathematica Scientia》2007年第3期645-655,共11页于宇梅王稳地; Project Supported by the National Natural Science Fund of China(10571143) the Research Fund of Southwest Normal University; In this article, an innovation diffusion model with the nonlinear acceptance is proposed to describe the dynamics of three competing products in a market. It is proved that the model admits a unique positive equilibri...; 关键词：Global stability nonlinear acceptance innovation diffusion model

GLOBAL_STABILITY