Viral Strain Coexistence Conditions from Bifurcation Analysis

A 2020 mathematical model and bifurcation analysis by Anel Nurtay investigates conditions for the stable coexistence of wild-type and mutant viral strains. The study formulates coexistence based on basic reproductive numbers, mutation rate limits, and pathogen virulence, dividing parameter space into five distinct dynamic regions.

Use Cases

• Validate theoretical models of viral strain coexistence using the derived conditions for basic reproductive numbers and mutation rates.
• Analyze the parameter space regions defined by degenerate Bogdanov-Takens and zero-Hopf bifurcations to understand strain competition dynamics.
• Study the relationship between virulence and the transcritical bifurcations of periodic orbits identified in the analysis.

Strengths

• Analysis is grounded in a formal mathematical model for viral strain competition.
• Results provide specific conditions for coexistence based on key parameters like basic reproductive numbers and a maximum mutation rate.
• Parameter space is systematically divided into five distinct regions with different dynamics.

Limitations

• The dataset consists of theoretical model outputs and analysis; no empirical or observational data is included.
• The scope is limited to the specific model assumptions regarding infectivity, virulence, and mutation rates.
• No raw data tables, column definitions, or sample data are provided for direct computational use.

Provenance

Source

Dryad

Collection Method

Mathematical modeling and bifurcation analysis.

Freshness

Last updated in June 2020.