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
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.