The Global Existence And Uniqueness Of Solutions To Dynamics Of An Infectious PDE Model With Precaution And Isolation

This paper is composed of three parts, as follows:(1) we establish dynamics of an infectious PDE model with precaution and isolation firstly. In Part 1, with some basic assumptions (H1) ?(H6) we turn system (P) into integral system (H) by adopting classical characteristic method, and define corresponding operators K1, K21, K22, K3. By discussing the properties of operators K1, K21, K22 K3, we obtain the existence and uniqueness of them. Further, we prove the local existence and uniqueness of solutions to system (H).(2) Applying Banach contracting-mapping principle and extending method, we get the global existence and uniqueness of solutions to system (H) in Part 2. And we discuss continuous dependence of solutions to system (H) on initial value.(3) In Part 3 we consider the C?and C1 regularities of solutions to system (H) by introducing zero-order and first-order compatibility conditions.