id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-342955-vf3c6ksm	Lu, Jingjing	An age-structured model for coupling within-host and between-host dynamics in environmentally-driven infectious diseases	2020-06-21		.txt	text/plain	6561	522	66	The model is described by a mixed system of ordinary and partial differential equations which is constituted by the within-host virus infectious fast time ordinary system and the between-host disease transmission slow time age-structured system. For the isolated slow system, the basic reproduction number R(b0), the positivity and ultimate boundedness of solutions are obtained, the existence of equilibria, the local stability of equilibria, and the global stability of disease-free equilibrium are established. Lemma 7 shows that due to the feedback effect of virus in the environment on the virus infection in the host, the coupled between-host disease transmission slow time system produces two positive equilibrium when the basic reproduction number R b < 1. Theorem 6 shows that when the basic reproduction number R b < 1, because the coupled slow system may have two positive equilibrium at this time, the infectious disease will be extinct only when the number of infected individuals is relatively small.	./cache/cord-342955-vf3c6ksm.txt	./txt/cord-342955-vf3c6ksm.txt