TRAVELING WAVES OF AN EPIDEMIC MODEL WITH VACCINATION
TRAVELING WAVES OF AN EPIDEMIC MODEL WITH VACCINATION
二级参考文献21
-
1Huang, J, Zou, X. Existence of travelling wavefronts of delayed reaction diffusion systems without monotonicity. Disc. Conti. Dynam. Syst. (series A), 9:925-936 (2003)
-
2Huang, W. Monotonicity of heteroclinic orbits and spectral properties of variational equations for delay differential equations. J. Differential Equations, 162:91-139 (2000)
-
3Ma, S. Travelling wavefronts for delayed reaction-diffusion systems via a fixed point theorem. J. Differential Equations, 171:294-314 (2001)
-
4Murray J. D. Murray. Mathematical Biology, Springer-Verlag, New York, 1989
-
5Pao, C.V. Nonlinear parabolic and elliptic equations. New York, Plenum Press, 1992
-
6Schaaf, K. Asymptotic behavior and travelling wave solutions for parabolic functional differential equations.Trans. Amer. Math. Soc, 302:587-615 (1987)
-
7Smith, H.L, Thieme, H.R. Monotone semiflows in scalar non-quasimonotone functional differential equations. J. Math. Anal Appl, 150:289-306 (1990)
-
8Smith, H.L, Thieme, H.R. Strongly order preserving semiflows generated by functional differential equations. J. Differential Equations, 93:322-363 (1991)
-
9Smith, H.L, Zhao, X.Q. Global asymptotic stability of travelling waves in delayed reaction-diffusion equations. SIAM J. Math. Anal, 31:514-534 (2000)
-
10So, J. W.H, Wu, J, Zou, X. A reaction diffusion model for a single species with age structure Ⅰ. Travelling wave fronts on uubounded domains, Proc. Royal Soc. London, Ser. A, 457: 1841-1854, 2001
共引文献5
-
1张秋华,刘利斌,周恺.时滞非局部扩散Lotka-Volterra竞争系统行波解的存在性[J].山东大学学报(理学版),2015,50(1):90-94.
-
2Junli Liu,Tailei Zhang.Traveling wave solutions of a delayed prey-predator system with diffusion[J].International Journal of Biomathematics,2017,10(1):1-11.
-
3李海萍.一类具有时滞和空间扩散的SIR传染病模型的行波解[J].数学的实践与认识,2018,48(12):292-295. 被引量:1
-
4谷雨萌,黄明迪.一类时间周期的时滞竞争系统行波解的存在性[J].应用数学和力学,2020,41(6):658-668. 被引量:4
-
5Qing Ge,Xia Wang,Libin Rong.A delayed reaction–diffusion viral infection model with nonlinear incidences and cell-to-cell transmission[J].International Journal of Biomathematics,2021,14(8):305-342.
-
1张敬,谢守波,高文杰.一类具有时滞的SIRS传染病模型的研究[J].东北师大学报(自然科学版),2011,43(2):10-15. 被引量:7
-
2HE Yan-sheng HOU Cheng-min.Traveling Waves for 2-1 Dimension Lattice Difference Equations[J].Chinese Quarterly Journal of Mathematics,2013,28(2):214-223. 被引量:1
-
3WANG Zhi-ping XU Rui ZHANG Shi-hua.Traveling Waves for an Epidemic Model with Vaccination and Nonlocal Diffusion[J].Chinese Quarterly Journal of Mathematics,2015,30(2):287-299.
-
4康瑞妮,张太雷,刘俊利.A Non-autonomous SIR Epidemic Model of Prey-predator with Vaccination and Time Delay[J].Chinese Quarterly Journal of Mathematics,2015,30(3):450-461. 被引量:3
-
5Lili Wang Rui Xu.Global stability of an SEIR epidemic model with vaccination[J].International Journal of Biomathematics,2016,9(6):35-57. 被引量:2
-
6Rui Xue,Fengying Wei.PERSISTENCE AND EXTINCTION OF A STOCHASTIC SIS EPIDEMIC MODEL WITH DOUBLE EPIDEMIC HYPOTHESIS[J].Annals of Applied Mathematics,2017,33(1):77-89.
-
7Kelatlhegile Ricardo Gosalamang,Huang Qing-dao,Li Yong.Modelling the Spread of HIV/AIDS Epidemic[J].Communications in Mathematical Research,2013,29(3):244-254.
-
8张海峰,Small Michael,傅新楚,汪秉宏.Dynamical behaviour of an epidemic on complex networks with population mobility[J].Chinese Physics B,2009,18(9):3639-3646. 被引量:2
-
9Wei DUAN Zongchen FAN Peng ZHANG Gang GUO Xiaogang QIU.Mathematical and computational approaches to epidemic modeling: a comprehensive review[J].Frontiers of Computer Science,2015,9(5):806-826. 被引量:7