The nonlinear integro-partial differential equation describing the logistic growth of human population with migration

Authors
Tabata, M Eshima, N Takagi, I
Citation
M. Tabata et al., The nonlinear integro-partial differential equation describing the logistic growth of human population with migration, APPL MATH C, 98(2-3), 1999, pp. 169-183
Citations number
14
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
98
Issue
2-3
Year of publication
1999
Pages
169 - 183
Database
ISI
SICI code
0096-3003(199902)98:2-3<169:TNIDED>2.0.ZU;2-G
Abstract
We derive a nonlinear integro-partial differential equation which describes the logistic growth of human population with migration. The equation is ba sed upon the theory of logistic growth of population and upon the theory of migration in quantitative sociodynamics. We prove that the Cauchy problem for the equation has a unique global solution, and we obtain fundamental es timates for the solution. (C) 1999 Elsevier Science Inc. All rights reserve d. AMS classification: 92D25; 45K05.