Search

Your search keyword '"35K51, 92C17, 35Q92, 35K45, 35K57, 92C50, 35B40"' showing total 2 results
Start Over Descriptor "35K51, 92C17, 35Q92, 35K45, 35K57, 92C50, 35B40"
2 results on '"35K51, 92C17, 35Q92, 35K45, 35K57, 92C50, 35B40"'

1. Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity

Author

Pankavich, Stephen and Parkinson, Christian

Subjects
Mathematics - Analysis of PDEs, 35K51, 92C17, 35Q92, 35K45, 35K57, 92C50, 35B40
Abstract

We consider a spatially-heterogeneous generalization of a well-established model for the dynamics of the Human Immunodeficiency Virus-type 1 (HIV) within a susceptible host. The model consists of a nonlinear system of three coupled reaction-diffusion equations with parameters that may vary spatially. Upon formulating the model, we prove that it preserves the positivity of initial data and construct global-in-time solutions that are both bounded and smooth. Finally, additional results concerning the local and global asymptotic behavior of these solutions are also provided., Comment: 21 pages

Published
2015
Full Text
View/download PDF

2. Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity

Author

Christian Parkinson and Stephen Pankavich

Subjects
0301 basic medicine, Mathematical optimization, Generalization, Applied Mathematics, 010102 general mathematics, Dynamics (mechanics), Human immunodeficiency virus (HIV), Host model, medicine.disease_cause, 01 natural sciences, Spatial heterogeneity, 03 medical and health sciences, Nonlinear system, 030104 developmental biology, Mathematics - Analysis of PDEs, Susceptible individual, Bounded function, medicine, FOS: Mathematics, Discrete Mathematics and Combinatorics, Applied mathematics, 35K51, 92C17, 35Q92, 35K45, 35K57, 92C50, 35B40, 0101 mathematics, Mathematics, Analysis of PDEs (math.AP)
Abstract

We consider a spatially-heterogeneous generalization of a well-established model for the dynamics of the Human Immunodeficiency Virus-type 1 (HIV) within a susceptible host. The model consists of a nonlinear system of three coupled reaction-diffusion equations with parameters that may vary spatially. Upon formulating the model, we prove that it preserves the positivity of initial data and construct global-in-time solutions that are both bounded and smooth. Finally, additional results concerning the local and global asymptotic behavior of these solutions are also provided., 21 pages

Published
2015

Catalog

Books, media, physical & digital resources
See catalog results