scholarly journals Cauchy problems with state-dependent time evolution

1990 ◽  
Vol 7 (3) ◽  
pp. 433-457 ◽  
Author(s):  
A. Grabosch ◽  
H. J. A. M. Heijmans
Keyword(s):  
Time Evolution ◽  
Cauchy Problems ◽  
State Dependent

On Population Growth of Cities in a Region: A Stochastic Nonlinear Model

1982 ◽  
Vol 14 (5) ◽  
pp. 585-590 ◽  
Author(s):  
P K Sikdar ◽  
P K Karmeshu
Keyword(s):  
Population Dynamics ◽  
Differential Equations ◽  
Population Growth ◽  
Time Evolution ◽  
Nonlinear Model ◽  
Planck Equation ◽  
Migration Model ◽  
Coupled Differential Equations ◽  
State Dependent ◽  
Population Sizes

A stochastic migration model describing the population dynamics in a region is investigated. The model is described by a pair of coupled differential equations with state-dependent stochasticity. Explicit expressions for the time evolution of the moments for the population sizes of cities are obtained from the Fokker-Planck equation. The Stratonovich calculus is employed in the analysis.

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