[1] Enatsu Y, Nakata Y, Muroya Y. Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays. Acta Mathematica Scientia, 2012, 32B:851-865
[2] Bichara D, Iggidr A, Sallet G. Global analysis of multi-strains SIS, SIR and MSIR epidemic models. J Appl Math Comput, 2014, 44:273-292
[3] Dhirasakdanon T, Thieme H R. Persistence of vertically transmitted parasite strains which protect against more virulent horizontally transmitted strains//Modeling and Dynamics of Infectious Diseases. Ser Contemp Appl Math, 11. Beijing:Higher Education Press, 2009:187-215
[4] Dhirasakdanon T, Thieme H R. Stability of the endemic coexistence equilibrium for one host and two parasites. Math Model Nat Phenom, 2010, 5:109-138
[5] Faria T, Muroya Y. Global attractivity and extinction for Lotka-Volterra systems with infinite delay and feedback controls. Proc Royal Soc Edinb:Sec A, 2015, 145:301-330
[6] Hethcote H W. The Mathematics of infectious diseases. SIAM Review, 2000, 42:599-653
[7] Kuniya T, Muroya Y. Global stability of a multi-group SIS epidemic model for population migration. Discrete and Continuous Dynamical Systems-Series B, 2014, 19:1105-1118
[8] Lipsitch M, Nowak M A, Ebert D, May R M. The population dynamics of vertically and horizontally ransmitted parasites. Proc Biol Sci, 1995, 260:321-327
[9] Martcheva M. A non-autonomous multi-strain SIS epidemic model. J Biol Dyn, 2009, 3:235-251
[10] Marvá M, Bravo de la Parra R, Poggiale J-C. Approximate aggregation of a two time scales periodic multi-strain SIS epidemic model:a patchy environment with fast migrations. Ecological Complexity, 2012, 10:34-41
[11] McCluskey C C. Complete global stability for an SIR epidemic model with delay-distributed or discrete. Nonl Anal RWA, 2010, 11:55-59
[12] Muroya Y, Enatsu Y, Kuniya T. Global stability for a class of multi-group SIR epidemic models with patches through migration and cross patch infection. Acta Mathematica Scientia, 2013, 33B(2):341-361
[13] Thieme H R. Pathogen competition and coexistence and the evolution of virulence//Mathematics for Life Sciences and Medicine. Berlin:Springer, 2007:123-153 |