Dynamics of a multigroup stochastic SIQR epidemic model

References

[1] E. Beretta and V. Capasso, Global stability results for a multigroup SIR epidemic model, Mathematical Ecology, World Scientific, Teaneck (1988), 317–342. Search in Google Scholar

[2] A. Berman and R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Comput. Sci. Appl. Math., Academic Press, New York, 1979. 10.1016/B978-0-12-092250-5.50009-6Search in Google Scholar

[3] Y. Chen, B. Wen and Z. Teng, The global dynamics for a stochastic SIS epidemic model with isolation, Phys. A 492 (2018), 1604–1624. 10.1016/j.physa.2017.11.085Search in Google Scholar PubMed PubMed Central

[4] N. Dalal, D. Greenhalgh and X. Mao, A stochastic model for internal HIV dynamics, J. Math. Anal. Appl. 341 (2008), no. 2, 1084–1101. 10.1016/j.jmaa.2007.11.005Search in Google Scholar

[5] J. Danane, K. Allali, Z. Hammouch and K. Sooppy Nisar, Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy, Results Phys. 23 (2021), 1–12. 10.1016/j.rinp.2021.103994Search in Google Scholar PubMed PubMed Central

[6] J. Djordjevic and C. J. Silva, A stochastic analysis of the impact of fluctuations in the environment on pre-exposure prophylaxis for HIV infection, Soft Computing 25 (2021), 6731–6743. 10.1007/s00500-019-04611-1Search in Google Scholar

[7] J. Djordjevic, C. J. Silva and D. F. M. Torres, A stochastic SICA epidemic model for HIV transmission, Appl. Math. Lett. 84 (2018), 168–175. 10.1016/j.aml.2018.05.005Search in Google Scholar

[8] R. Z. Has’minskii, Stochastic Stability of Differential Equations, Monogr. Textb. Mech. Solids Fluids 7, Sijthoff and Noordhoff, Alphen aan den Rijn, 1980. Search in Google Scholar

[9] A. Iggidr, G. Sallet and M. O. Souza, On the dynamics of a class of multi-group models for vector-borne diseases, J. Math. Anal. Appl. 441 (2016), no. 2, 723–743. 10.1016/j.jmaa.2016.04.003Search in Google Scholar

[10] C. Ji and D. Jiang, The asymptotic behavior of a stochastic multigroup SIS model, Int. J. Biomath. 11 (2018), no. 3, Article ID 1850037. 10.1142/S1793524518500377Search in Google Scholar

[11] A. Lajmanovich and J. A. Yorke, A deterministic model for gonorrhea in a nonhomogeneous population, Math. Biosci. 28 (1976), no. 3–4, 221–236. 10.1016/0025-5564(76)90125-5Search in Google Scholar

[12] Q. Liu and D. Jiang, Dynamics of a multigroup SIRS epidemic model with random perturbations and varying total population size, Commun. Pure Appl. Anal. 19 (2020), no. 2, 1089–1110. 10.3934/cpaa.2020050Search in Google Scholar

[13] Q. Liu, D. Jiang, T. Hayat and A. Alsaedi, Dynamics of a stochastic multigroup SIQR epidemic model with standard incidence rates, J. Franklin Inst. 356 (2019), no. 5, 2960–2993. 10.1016/j.jfranklin.2019.01.038Search in Google Scholar

[14] X. Mao, Stochastic Differential Equations and Their Applications, Horwood, Chichester, 1997. Search in Google Scholar

[15] Y. Muroya, Y. Enatsu and T. Kuniya, Global stability for a multi-group SIRS epidemic model with varying population sizes, Nonlinear Anal. Real World Appl. 14 (2013), no. 3, 1693–1704. 10.1016/j.nonrwa.2012.11.005Search in Google Scholar

[16] L. Rass and J. Radcliffe, Global asymptotic convergence results for multitype models, Int. J. Appl. Math. Comput. Sci. 10 (2000), 63–79. Search in Google Scholar

[17] V. Volpert, M. Banerjee and S. Petrovskii, On a quarantine model of coronavirus infection and data analysis, Math. Model. Nat. Phenom. 15 (2020), Paper No. 24. 10.1051/mmnp/2020006Search in Google Scholar