Citation: Jinhu Xu, Yicang Zhou. Global stability of a multi-group model with vaccination age, distributed delay and random perturbation[J]. Mathematical Biosciences and Engineering, 2015, 12(5): 1083-1106. doi: 10.3934/mbe.2015.12.1083
[1] | Rocky Mount. J. Math., 9 (1979), 31-42. |
[2] | J. Math. Biol., 33 (1995), 250-260. |
[3] | Nonlinear Anal.: Real World Appl., 13 (2012), 1581-1592. |
[4] | Math. Biosci., 28 (1976), 221-236. |
[5] | Nonlinear Anal.: Real World Appl., 12 (2011), 1991-1997. |
[6] | Appl. Math. Comput., 218 (2011), 280-286. |
[7] | Appl. Math. Comput., 218 (2011), 4391-4400. |
[8] | Nonlinear Anal.: Real World Appl., 14 (2013), 1135-1143. |
[9] | Canad. Appl. Math. Quart., 14 (2006), 259-284. |
[10] | Proc. Amer. Math. Soc., 136 (2008), 2793-2802. |
[11] | J. Differential Equations, 248 (2010), 1-20. |
[12] | Math. Biosci. Eng., 9 (2012), 393-411. |
[13] | Nonlinear Anal.: Real World Appl., 12 (2011), 2163-2173. |
[14] | Science, 265 (1994), 1451-1454. |
[15] | Nonlinear Anal.: Real World Appl., 11 (2010), 4154-4163. |
[16] | Appl. Math. Comput., 214 (2009), 381-390. |
[17] | Appl. Math. Model., 36 (2012), 908-923. |
[18] | Math. Biosci., 195 (2005), 23-46. |
[19] | Appl. Math. Model., 34 (2010), 437-450. |
[20] | Appl. Math. Comput., 226 (2014), 528-540. |
[21] | J. Franklin Inst., 297 (1974), 325-333. |
[22] | Philadelphia: Society for industrial and applied mathematics, 1975. |
[23] | W. A. Benjamin, New York, 1971. |
[24] | Funkcial. Ekvac., 31 (1988), 331-347. |
[25] | Springer-Verlag, New York, 1993. |
[26] | J. Math. Biol., 28 (1990), 365-382. |
[27] | J. Differential Equations, 48 (1983), 95-122. |
[28] | J. Integral Equations, 10 (1985), 123-136. |
[29] | Ph.D. thesis, University of Nottingham, 2008. |
[30] | Science, 197 (1977), 463-465. |
[31] | Stoch Process Appl., 97 (2002), 95-110. |
[32] | J Math Anal Appl., 341 (2008), 1084-1101. |
[33] | Phys A: Stat Mech Appl., 390 (2011), 1747-1762. |
[34] | Appl. Math. Comput., 238 (2014), 300-318. |
[35] | Commun Nonlinear Sci Numer Simulat., 19 (2014), 3444-3453. |
[36] | Math. Biosci. Eng., 11 (2014), 1003-1025. |
[37] | Chichester: Horwood publishing, 1997. |
[38] | SIAM Rev., 43 (2001), 525-546. |