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  • 1
    Electronic Resource
    Electronic Resource
    The effect of integral conditions in certain equations modelling epidemics and population growth (1980)
    Springer
    Journal of mathematical biology 10 (1980), S. 13-32 
    Details
    ISSN: 1432-1416
    Keywords: Delay differential equations ; Epidemic models ; Invariant integrals
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Summary Models of epidemics that lead to delay differential equations often have subsidiary integral conditions that are imposed by the interpretation of these models. The neglect of these conditions may lead to solutions that behave in a radically different manner from solutions restricted to obey them. Examples are given of such behavior, including cases where periodic solutions may occur off the natural set defined by these conditions but not on it. A complete stability analysis is also given of a new model of a disease propagated by a vector where these integral conditions play an important role.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00276393
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