TY - JOUR
T1 - The logistic equation revisited
T2 - The two-sex case
AU - Castillo-Chavez, Carlos
AU - Huang, Wenzhang
N1 - Funding Information:
We thank Professor K Hadeler for his useful comments and corrections in the preparation of this manuscript. Thanks to Professor Hadeler's time and patience, we were able to complete this manuscript on time for this memorial uolume. This research was partially supported by NSF grant DEB-925370 (Presidential Faculty Fellowship Award) to Carlos CastiUo-Chauez and by the U.S. Army Research Office through the Mathematical Science Institute of Cornell University (contract DAAL03-91-C-O027). This article was completed while Carlos Castillo-Chauez was a Fellow at the Department of Ecology and Euolutionary Biology at Princeton Uniuersity.
PY - 1995
Y1 - 1995
N2 - The goal of this article is to formulate and analyze the simplest logistic pair-formation model and to contrast its dynamics to that of the corresponding Malthusian pair-formation model, that is, a generalization of the Kendall-Keyfitz model. The Malthusian pair-formation model supports a unique nontrivial stable exponential solution, and it is shown that the logistic pair-formation model supports a unique stable nontrivial bounded solution.
AB - The goal of this article is to formulate and analyze the simplest logistic pair-formation model and to contrast its dynamics to that of the corresponding Malthusian pair-formation model, that is, a generalization of the Kendall-Keyfitz model. The Malthusian pair-formation model supports a unique nontrivial stable exponential solution, and it is shown that the logistic pair-formation model supports a unique stable nontrivial bounded solution.
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U2 - 10.1016/0025-5564(94)00077-D
DO - 10.1016/0025-5564(94)00077-D
M3 - Article
C2 - 7606140
AN - SCOPUS:0029034397
SN - 0025-5564
VL - 128
SP - 299
EP - 316
JO - Mathematical Biosciences
JF - Mathematical Biosciences
IS - 1-2
ER -