Mathematical analysis for an epidemic model with spatial and age structure

作者：Di Blasio Gabriella^*

来源：Journal of Evolution Equations, 2010, 10(4): 929-953.

DOI：10.1007/s00028-010-0077-8

• Ultraparabolic equations
• Abstract parabolic equations
• Epidemics models

A system of parabolic-hyperbolic equations with a non-local boundary condition, arising in mathematical theory of epidemics, is analyzed. For such a system, well-posedness as well as Sobolev regularity with respect to the space variables is proved. Asymptotic behavior of the solutions is also investigated.

• 出版日期2010-11