Some simple models for nonlinear age-dependent population dynamics
نویسندگان
چکیده
منابع مشابه
Some Simple Models for Nonlinear Age-Dependent Population Dynamics
This paper presents two simple models for nonlinear age-dependent population dynamics. In these models the basic equations of the theory reduce to systems of ordinary differential equations. We discuss certain qualitative aspects of these systems; in particular, we show that for many cases of interest periodic solutions are not possible. 1. BASIC EQUATIONS Recently, Gurtin and MacCamy [l] intro...
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where P( t ) is the total population at time t and 5 is the growth modulus. This law is clearly inapplicable to situations in which the population competes for resources (e.g., space and food), for in these situations 5 should depend on the size of the population: the larger the population, the slower should be its rate of growth. To overcome this deficiency in the Malthusian law, VERHULST [184...
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ژورنال
عنوان ژورنال: Mathematical Biosciences
سال: 1979
ISSN: 0025-5564
DOI: 10.1016/0025-5564(79)90049-x