Dispersal, disease and life-history evolution

Carlos Castillo-Chavez; Abdul Aziz Yakubu

doi:10.1016/S0025-5564(01)00065-7

Dispersal, disease and life-history evolution

Carlos Castillo-Chavez, Abdul Aziz Yakubu

Research output: Contribution to journal › Article › peer-review

85 Scopus citations

Abstract

Discrete-time susceptible-infective-susceptible (S-I-S) disease transmission models can exhibit bistability (alternative stable equilibria) over a wide range of parameter values. We illustrate the richness generated by such 'simple' non-linear systems in the study of two patch epidemic models with disease-enhanced or disease-suppressed dispersal. Dispersal between patches can have a profound impact on local patch disease dynamics. In fact, dispersal between patches may give rise to bistability in parameter regimes without bistability in single patch models.

Original language	English (US)
Pages (from-to)	35-53
Number of pages	19
Journal	Mathematical Biosciences
Volume	173
Issue number	1
DOIs	https://doi.org/10.1016/S0025-5564(01)00065-7
State	Published - 2001
Externally published	Yes

Keywords

Bistability
Dispersal
Geometric growth
Metapopulation
Patches

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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10.1016/S0025-5564(01)00065-7

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title = "Dispersal, disease and life-history evolution",

abstract = "Discrete-time susceptible-infective-susceptible (S-I-S) disease transmission models can exhibit bistability (alternative stable equilibria) over a wide range of parameter values. We illustrate the richness generated by such 'simple' non-linear systems in the study of two patch epidemic models with disease-enhanced or disease-suppressed dispersal. Dispersal between patches can have a profound impact on local patch disease dynamics. In fact, dispersal between patches may give rise to bistability in parameter regimes without bistability in single patch models.",

keywords = "Bistability, Dispersal, Geometric growth, Metapopulation, Patches",

author = "Carlos Castillo-Chavez and Yakubu, {Abdul Aziz}",

note = "Funding Information: The authors thank the referees for helpful suggestions. This study was partially supported by grants from National Science Foundation (NSF Grant DMS 9977919); National Security Agency (NSA Grant MDA 9149710074); Presidential Mentoring Award (NSF Grant HRD 9724850) to Carlos Castillo-Chavez. A.-A.Y. was partially supported by grants from National Science Foundation and Cornell University IGERT program. This research was completed while A.-A.Y. was a Visiting Scientist at the Center for Applied Mathematics in Cornell University. We also thank the office of the provost of Cornell University for its support. We also thank the Intel Technology for Education 200 Equipment Grant. The examples that lead to this research were part of a summer research experience supported by the above grants. ",

year = "2001",

doi = "10.1016/S0025-5564(01)00065-7",

language = "English (US)",

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AU - Castillo-Chavez, Carlos

AU - Yakubu, Abdul Aziz

N1 - Funding Information: The authors thank the referees for helpful suggestions. This study was partially supported by grants from National Science Foundation (NSF Grant DMS 9977919); National Security Agency (NSA Grant MDA 9149710074); Presidential Mentoring Award (NSF Grant HRD 9724850) to Carlos Castillo-Chavez. A.-A.Y. was partially supported by grants from National Science Foundation and Cornell University IGERT program. This research was completed while A.-A.Y. was a Visiting Scientist at the Center for Applied Mathematics in Cornell University. We also thank the office of the provost of Cornell University for its support. We also thank the Intel Technology for Education 200 Equipment Grant. The examples that lead to this research were part of a summer research experience supported by the above grants.

PY - 2001

Y1 - 2001

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AB - Discrete-time susceptible-infective-susceptible (S-I-S) disease transmission models can exhibit bistability (alternative stable equilibria) over a wide range of parameter values. We illustrate the richness generated by such 'simple' non-linear systems in the study of two patch epidemic models with disease-enhanced or disease-suppressed dispersal. Dispersal between patches can have a profound impact on local patch disease dynamics. In fact, dispersal between patches may give rise to bistability in parameter regimes without bistability in single patch models.

KW - Bistability

KW - Dispersal

KW - Geometric growth

KW - Metapopulation

KW - Patches

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Dispersal, disease and life-history evolution

Abstract

Keywords

ASJC Scopus subject areas

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