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Competitive networked bi-virus spread: Existence of coexistence equilibria.

Axel Janson1, Sebin Gracy2, Philip E Paré3

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This study explores how two viruses compete in a population. Researchers found conditions for coexistence and developed a strategy to eradicate one virus using the other.

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Coexistence equilibriumCompeting virusesEpidemic processesMitigation strategies

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Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Infectious Disease Dynamics

Background:

  • Continuous-time epidemic models often simplify to single-virus scenarios.
  • Understanding multi-pathogen interactions is crucial for public health.
  • Coexistence equilibria represent complex population-level dynamics.

Purpose of the Study:

  • To analyze multi-competitive continuous-time epidemic processes involving two viruses.
  • To establish conditions for the existence and stability of coexistence equilibria.
  • To propose a virus-mediated eradication strategy.

Main Methods:

  • Mathematical modeling of continuous-time epidemic processes.
  • Analysis of equilibrium points and their local exponential attractiveness.
  • Derivation of conditions for the existence and absence of coexistence equilibria.
  • Simulation-based illustration of theoretical findings.

Main Results:

  • A sufficient condition for the existence of a coexistence equilibrium was identified.
  • Conditions were established for equilibria lying on a locally exponentially attractive line or their absence.
  • A condition was derived to rule out coexistence, leading to dominance by one virus.
  • A mitigation strategy using one virus for the eradication of another was proposed.

Conclusions:

  • The study provides a theoretical framework for understanding competitive epidemics.
  • Conditions for virus coexistence and dominance were mathematically defined.
  • A novel strategy for targeted virus eradication through competitive interaction was demonstrated.