Competition in the presence of a virus in an aquatic system: an SIS model in the chemostat

DOI10.1007/S00285-011-0439-ZzbMath1264.34097OpenAlexW2050061162WikidataQ45365744 ScholiaQ45365744MaRDI QIDQ455727

Mudassar Imran, Katherine Northcott, Gail S. K. Wolkowicz

Publication date: 22 October 2012

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

Full work available at URL: https://doi.org/10.1007/s00285-011-0439-z

zbMATH Keywords

SIS epidemic modelbi-stability and hysteresis effectHopf, homoclinic, and saddle-node bifurcations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Lyapunov and storage functions (93D30) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Asymptotic stability in control theory (93D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

A bacteriophage model based on CRISPR/Cas immune system in a chemostat ⋮ A modeling and simulation study of the role of suspended microbial populations in nitrification in a biofilm reactor ⋮ Mathematical models for the effects of hypertension and stress on kidney and their uncertainty ⋮ DYNAMICS OF BACTERIA-PHAGE INTERACTIONS WITH IMMUNE RESPONSE IN A CHEMOSTAT ⋮ A delay model for persistent viral infections in replicating cells ⋮ A competition un-stirred chemostat model with virus in an aquatic system

Uses Software

• XPPAUT
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Cites Work

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• Limiting Behavior for Competing Species
• Perturbation of a globally stable steady state
• Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates
• Disease Induced Oscillations between Two Competing Species
• The Theory of the Chemostat
• Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
• Modeling and analysis of a marine bacteriophage infection with latency period

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