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Population Oscillations in a Nonlinear Migration Model
Author(s) -
Zhang WeiBin
Publication year - 1988
Publication title -
geographical analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.773
H-Index - 65
eISSN - 1538-4632
pISSN - 0016-7363
DOI - 10.1111/j.1538-4632.1988.tb00173.x
Subject(s) - hopf bifurcation , nonlinear system , mathematics , population , population model , mathematical economics , economics , control theory (sociology) , bifurcation , physics , sociology , demography , quantum mechanics , control (management) , management
The purpose of this paper is to prove the existence of Hopf bifurcations in Sheppard's generalized dynamic migration model. Hopf bifurcations appear as a result of structure changes in the system. First, we deal with the general case of H cities. Then, the case of two cities is dealt with.