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 - http://www.scopus.com/inward/record.url?scp=0033372465&partnerID=8YFLogxK
M3 - Article
C2 - 10669892
AN - SCOPUS:0033372465
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 -