Density-dependent dynamics and superinfection in an epidemic model

Jaime Mena-Lorca; Jorge X. Velasco-Hernandez; Carlos Castillo-Chavez

Density-dependent dynamics and superinfection in an epidemic model

Jaime Mena-Lorca
, Jorge X. Velasco-Hernandez
, Carlos Castillo-Chavez

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

Abstract

A mathematical model of the interaction between two pathogen strains and a single host population is studied. Variable population size, density-dependent mortality, disease-related deaths (virulence), and superinfection are incorporated into the model. Results indicate that coexistence of the two strains is possible depending on the magnitude of superinfection. Global asymptotic stability of the steady-state that gives coexistence for both strains under suitable and biologically feasible constraints is proved.

Original language	English (US)
Pages (from-to)	307-317
Number of pages	11
Journal	IMA Journal of Mathemathics Applied in Medicine and Biology
Volume	16
Issue number	4
State	Published - Dec 1999
Externally published	Yes

ASJC Scopus subject areas

Mathematics (miscellaneous)
Agricultural and Biological Sciences (miscellaneous)

Cite this

@article{56b767adb63d4e96adaa1bbfb2ecb234,

title = "Density-dependent dynamics and superinfection in an epidemic model",

abstract = "A mathematical model of the interaction between two pathogen strains and a single host population is studied. Variable population size, density-dependent mortality, disease-related deaths (virulence), and superinfection are incorporated into the model. Results indicate that coexistence of the two strains is possible depending on the magnitude of superinfection. Global asymptotic stability of the steady-state that gives coexistence for both strains under suitable and biologically feasible constraints is proved.",

author = "Jaime Mena-Lorca and Velasco-Hernandez, \{Jorge X.\} and Carlos Castillo-Chavez",

note = "Funding Information: We thank Herbert Hethcote for his useful comments that contributed substantially to the improvement of this paper. We acknowledge the support from a CONACYT grant to JXVH, NSF Presidential Faculty Award to CCC, and a FONDECYT grant to Pablo A. Marquet (JML).",

year = "1999",

month = dec,

language = "English (US)",

volume = "16",

pages = "307--317",

journal = "IMA Journal of Mathemathics Applied in Medicine and Biology",

issn = "0265-0746",

publisher = "Oxford University Press",

number = "4",

}

TY - JOUR

T1 - Density-dependent dynamics and superinfection in an epidemic model

AU - Mena-Lorca, Jaime

AU - Velasco-Hernandez, Jorge X.

AU - Castillo-Chavez, Carlos

N1 - Funding Information: We thank Herbert Hethcote for his useful comments that contributed substantially to the improvement of this paper. We acknowledge the support from a CONACYT grant to JXVH, NSF Presidential Faculty Award to CCC, and a FONDECYT grant to Pablo A. Marquet (JML).

PY - 1999/12

Y1 - 1999/12

N2 - A mathematical model of the interaction between two pathogen strains and a single host population is studied. Variable population size, density-dependent mortality, disease-related deaths (virulence), and superinfection are incorporated into the model. Results indicate that coexistence of the two strains is possible depending on the magnitude of superinfection. Global asymptotic stability of the steady-state that gives coexistence for both strains under suitable and biologically feasible constraints is proved.

AB - A mathematical model of the interaction between two pathogen strains and a single host population is studied. Variable population size, density-dependent mortality, disease-related deaths (virulence), and superinfection are incorporated into the model. Results indicate that coexistence of the two strains is possible depending on the magnitude of superinfection. Global asymptotic stability of the steady-state that gives coexistence for both strains under suitable and biologically feasible constraints is proved.

UR - https://www.scopus.com/pages/publications/0033372465

UR - https://www.scopus.com/pages/publications/0033372465#tab=citedBy

M3 - Article

C2 - 10669892

SN - 0265-0746

VL - 16

SP - 307

EP - 317

JO - IMA Journal of Mathemathics Applied in Medicine and Biology

JF - IMA Journal of Mathemathics Applied in Medicine and Biology

IS - 4

ER -

Density-dependent dynamics and superinfection in an epidemic model

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this