Abstract：
:Many situations in population biology involve a rate--typically a contact or recruitment rate--which increases linearly for small populations but reaches a maximum value (saturates) for large populations. Models for populations of variable size need to incorporate both characteristics to predict behavior accurately. This can be done by defining the rate as a continuous, piecewise linear function with a switch point, or via a Verhulst-type (smooth) saturation function. This paper presents several examples of both approaches and draws some conclusions about the differences from a modeling perspective.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Kribs-Zaleta CMdoi
10.1016/j.mbs.2004.11.001subject
Has Abstractpub_date
2004-12-01 00:00:00pages
137-52issue
2eissn
0025-5564issn
1879-3134pii
S0025-5564(04)00155-5journal_volume
192pub_type
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