title: Endogenous population growth and the exploitation of renewable resources.
abstract: The authors consider a demo-economic model where the economy consists of two sectors ("hunting and farming" and "industry"), and both sectors depend directly or indirectly on the explanation of a renewable resource. The primary sector harvests a renewable resource (fish, corn, or wood) which is used as the input into industrial production, the secondary sector of our economy. Labor is divided up between these two sectors under the assumption of competitive labor markets. A system of two nonlinear differential equations for the resources and the population is studied by phase space analysis. Using the Hopf bifurcation theorem, the authors obtain two different routes to limit cycles and prove numerically the existence of a stable Malthusian limit cycle.
authors.forename: A
authors.initials: A
authors.lastname: Prskawetz
authors.forename: G
authors.initials: G
authors.lastname: Feichtinger
authors.forename: F
authors.initials: F
authors.lastname: Wirl
mesh_terms: D003247:Conservation of Natural Resources; D003710:Demography; D004467:Economics; D004651:Employment; D004777:Environment; D006280:Health Workforce; D007221:Industry; D018803:Models, Economic; D008962:Models, Theoretical; D011153:Population; D011157:Population Dynamics; D011158:Population Growth; D012106:Research; D012942:Social Sciences
keywords: Demographic Analysis; Demographic Factors; Demography; Economic Factors; Economic Model; Environment; Human Resources; Industry; Labor Force; Macroeconomic Factors; Malthusianism; Models, Theoretical; Natural Resources; Population; Population Dynamics; Population Growth; Population Theory; Research Methodology; Social Sciences; Theoretical Studies