On the existence of stable pairing distributions

DOI10.1007/BF00167942zbMath0840.92017OpenAlexW1965145112WikidataQ56773972 ScholiaQ56773972MaRDI QIDQ1911126

Wenzhang Huang, Carlos Castillo-Chavez, Jia Li

Publication date: 1 July 1996

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00167942

zbMATH Keywords

monotonicity propertiestwo-sex modelmultiple groupsarbitrary mixing probabilitiesasymptotic stable paired distributionconstant per-capita recruitment ratesequal average duration of partnershipsfemalesgeneral pairing rateshomogeneous systems of degree onemalesmixing/contact structurepair-formation modelspairing distributionpositive boundary exponential solutions

Mathematics Subject Classification ID

Epidemiology (92D30) Population dynamics (general) (92D25) Qualitative theory for ordinary differential equations (34C99) Mathematical geography and demography (91D20) Asymptotic properties of solutions to ordinary differential equations (34D05) Dynamical systems and ergodic theory (37-XX)

Related Items

On the role of schistosome mating structure in the maintenance of drug-resistant strains, Notes from the heterogeneous: a few observations on the implications and necessity of affinity, Theoretical population dynamics model of a genetically transmitted disease: Sickle-cell anaemia, Pair formation, Structured models for heterosexual disease transmission, A schistosomiasis model with mating structure and time delay, A dynamic model of the marriage market. I: Matching algorithm based on age preference and availability, A dynamic model of the marriage market. II: Simulation of marital states and application to empirical data, Core recruitment effects in SIS models with constant total populations, To switch or taper off: the dynamics of saturation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Models for pair formation in bisexual populations
• Homogeneous models for sexually transmitted diseases
• Epidemiological models for sexually transmitted diseases
• On the transmission dynamics of HIV
• The spread and persistence of infectious diseases in structured populations
• Pair formation in age-structured populations
• Periodic solutions of homogeneous equations
• Toward a unified theory of sexual mixing and pair formation
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• A deterministic model for gonorrhea in a nonhomogeneous population
• Modeling and analyzing HIV transmission: The effect of contact patterns
• Asymptotically autonomous differential equations in the plane
• Like-with-like preference and sexual mixing models
• Affinity in paired event probability
• The logistic equation revisited: The two-sex case
• A mathematical theory of age structure in sexual populations: Random mating and monogamous marriage models
• Quasi Convergence and Stability for Strongly Order-Preserving Semiflows
• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
• Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission
• A semigroup approach to the strong ergodic theorem of the multistate stable population process
• On the Integral Equation of Renewal Theory