Journal of Mathematical Biology
Volume 16, Issue 2, 1983, Pages 181-198

Epidemic models with spatial spread due to population migration (Article)

Busenberg S.N.* , Travis C.C.
  • a Department of Mathematics, Harvey Mudd College, Claremont, 91711, CA, United States
  • b Health and Safety Research Division, Oak Ridge National Laboratory, Oak Ridge, 37830, TN, United States

Abstract

A spatial diffusion operator that governs the migration of polymorphic populations is derived and some specific epidemic models are analyzed in the presence of this type of diffusion. Threshold criteria and asymptotic behavior of solutions are derived, and it is shown that spatially heterogeneous steady states can occur in these models. © 1983 Springer-Verlag.

Author Keywords

Nonlinear diffusion Population migration Epidemic models

Index Keywords

model Short Survey Models, Biological biological model nonhuman Transients and Migrants Genetics, Population Support, U.S. Gov't, Non-P.H.S. methodology population research Disease Outbreaks epidemic human epidemiology migration Polymorphism (Genetics)
Link
https://www.scopus.com/inward/record.uri?eid=2-s2.0-0020696538&doi=10.1007%2fBF00276056&partnerID=40&md5=7eb6affdf894646867adec007a26c220
DOI: 10.1007/BF00276056
ISSN: 03036812
Cited by: 28
Original Language: English