TY - JOUR

T1 - Toward a unified theory of sexual mixing and pair formation

AU - Blythe, S. P.

AU - Castillo-Chavez, C.

AU - Palmer, J. S.

AU - Cheng, M.

N1 - Funding Information:
Cornell National SupercomputeFra cility, the Centerf or the Theory of Simulationi n Sciencea nd Engineering,w hich is funded in part by the National ScienceF oundation, New York State, and the IBM Corporation. S. P. B. thanks thep articipantsa t the Skiikloster Workshop1 990 for manys timulatingc onversationse, speciallyK . Hadeler, M. Morris, and G. Scalia-Tomba. We also thank Graham Medley, Simon A. Levin, and two anonymousr efereefso r their valuablec ommentso n an earlier versiono f this paper.
Funding Information:
This researchh as been partially supported by NSF grant DMS-8906580N, IAID grant ROl A12917 8-02,a nd Hatch project grant NYC I51-409, USDA to C. C.-C. S.P.B. 3 researchh as beenp artially supported by funds from the office of the dean of the Collegeo f Agriculture and Life Sciencesa nd the Mathematical SciencesI nstitute at Cornell University. This researchi s being, in part, conducteda t the

PY - 1991/12

Y1 - 1991/12

N2 - Sexually transmitted diseases such as gonorrhea, syphilis, herpes, and AIDS are driven and maintained in populations by epidemiological and sociological factors that are not completely understood. One such factor is the way in which people mix sexually. In this paper, we outline a unified approach to modeling sexual mixing structures, where such structures are defined in terms of a set of axioms for a finite number of distinct groups of people. Theorems for homosexual, heterosexual, and arbitrary group mixing are presented, leading to a representation of all mixing structures defined by the axioms. The representation and its parameters are interpreted in terms of intergroup affinities for sexual mixing. The use of the approach in sexually transmitted disease modeling is discussed.

AB - Sexually transmitted diseases such as gonorrhea, syphilis, herpes, and AIDS are driven and maintained in populations by epidemiological and sociological factors that are not completely understood. One such factor is the way in which people mix sexually. In this paper, we outline a unified approach to modeling sexual mixing structures, where such structures are defined in terms of a set of axioms for a finite number of distinct groups of people. Theorems for homosexual, heterosexual, and arbitrary group mixing are presented, leading to a representation of all mixing structures defined by the axioms. The representation and its parameters are interpreted in terms of intergroup affinities for sexual mixing. The use of the approach in sexually transmitted disease modeling is discussed.

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U2 - 10.1016/0025-5564(91)90015-B

DO - 10.1016/0025-5564(91)90015-B

M3 - Article

C2 - 1806124

AN - SCOPUS:0026326120

VL - 107

SP - 379

EP - 405

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

IS - 2

ER -