|
KERMACK W O, MCKENDRICK A G. A contribution to the mathematical theory of epidemics[J].Proceedings of the Royal Society of London,1927,115(772): 700-721.
|
|
[2]MA Zhien, ZHOU Yicang, WU Jianhong.Modeling and Dynamics of Infectious Diseases[M]. New Jersey: World Scientific Publishing Company, 2009.
|
|
[3]LIU W M, LEVIN S A, IWASA Y. Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models[J].Journal of Mathematical Biology,1986,23(2): 187-204.
|
|
[4]CAI Y, KANG Y, BANERJEE M, et al. A stochastic SIRS epidemic model with infectious force under intervention strategies[J].Differential Equations,2015,259(12): 7463-7502.
|
|
[5]ZHANG Juan, LI Jianquan, MA Zhien. Global analysis of SIR epidemic models with population size dependent contact rate[J].Journal of Engineering Mathematics,2004,21(2): 259-267.
|
|
[6]MCKENDRICK A G. Applications of mathematics to medical problems[J].Proceedings of the Edinburgh Mathematical Society,1925,44: 98-130.
|
|
[7]KEELING M J, ROHANI P.Modeling Infectious Diseases in Human and Animals[M]. New Jersey: Princeton University Press, 2008.
|
|
[8]OKSENDAL B.Stochastic Differential Equations: an Introduction With Applications[M]. New York: Springer, 1980.
|
|
[9]LUO Q, MAO X. Stochastic population dynamics under regime switching[J].Journal of Mathematical Analysis and Applications,2007,334(1): 69-84.
|
|
[10]KHASMINSKII R Z, ZHU C, YIN G. Stability of regime-switching diffusions[J].Stochastic Processes and Their Applications,2007,117(8): 1037-1051.
|
|
[11]MAO X.Stochastic Differential Equations and Applications[M]. Sawston: Horwood Publishing, 1997.
|
|
[12]HIGHAM D J. An algorithmic introduction to numerical simulation of stochastic differential equations[J].SIAM Review,2001,43(3): 525-546.
|
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