Complete global dynamics of a delayed viral infection model with lytic and nonlytic effectors

• Autores: Yukihiko Nakata, Yoichi Enatsu, Yoshiaki Muroya
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Nº. 60, 2012, págs. 27-50
• Idioma: inglés
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• Resumen

  • We perform the global stability analysis for a viral infection model with two types of immune response. The model is formulated as a system of delay differential equations. We determine the global dynamics in terms of the basic reproduction number using Lyapunov functionals. Our results on the global stability of the infected equilibrium give an affirmative answer to the conjecture offered in the paper [K. Wang, W. Wang and X. Liu, Comput. Math. Appl. 51 (2006), 1593-1610].