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Asymptotic methods for modeling biological processes
Author(s) -
Wollkind D. J.,
Logan J. A.,
Berryman A. A.
Publication year - 1978
Publication title -
population ecology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.819
H-Index - 59
eISSN - 1438-390X
pISSN - 1438-3896
DOI - 10.1007/bf02512976
Subject(s) - biology , competition (biology) , ecology , population model , population , mathematics , function (biology) , biological system , econometrics , statistics , statistical physics , evolutionary biology , physics , demography , sociology
Summary The technique of matched asymptotic expansions is discussed as a means for derivation of uniformly valid functions describing population processes. Use of the technique is then illustrated through quantitative description of a rate‐temperature model, development of a functional model relating survival to attack density in bark beetles, and finally for derivation of a generalized competition function. It is concluded that the technique has potentially wide application for development of descriptive models in population ecology.