Towards understanding the endemic behavior of a competitive tri-virus SIS networked model
DOI10.1137/23m1563074zbMATH Open1548.34056MaRDI QIDQ6592240
Brian D. O. Anderson, César A. Uribe, Sebin Gracy, Mengbin Ye
Publication date: 24 August 2024
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
Cites Work
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- How direct competition shapes coexistence and vaccine effects in multi-strain pathogen systems
- Global stability of a multistrain SIS model with superinfection
- Stability of epidemic models over directed graphs: A positive systems approach
- Epidemiological models with age structure, proportionate mixing, and cross-immunity
- An index theorem for dissipative semiflows
- Capturing the dynamics of pathogens with many strains
- A deterministic model for gonorrhea in a nonhomogeneous population
- The stochastic SI model with recruitment and deaths. I: Comparison with the closed SIS model
- A simple SIS epidemic model with a backward bifurcation
- Global stability for the SEIR model in epidemiology
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- An SIS epidemic model with variable population size and a delay
- Predicting \(N\)-strain coexistence from co-colonization interactions: epidemiology meets ecology and the replicator equation
- Competitive exclusion in an infection-age structured model with environmental transmission
- Multi-competitive viruses over time-varying networks with mutations and human awareness
- The Mathematics of Infectious Diseases
- Epidemiological Models and Lyapunov Functions
- Global Stability of Infectious Disease Models Using Lyapunov Functions
- Introduction to Smooth Manifolds
- Stability and convergence in strongly monotone dynamical systems.
- A non-autonomous multi-strain SIS epidemic model
- Multistrain virus dynamics with mutations: a global analysis
- Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results
- Competitive Exclusion and Coexistence of Multiple Strains in an SIS STD Model
- Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
- Accounting for symptomatic and asymptomatic in a SEIR-type model of COVID-19
- Convergence and Equilibria Analysis of a Networked Bivirus Epidemic Model
- Applications of the Poincaré–Hopf Theorem: Epidemic Models and Lotka–Volterra Systems
- Dynamics of competing ideas in complex social systems
- Global stability of a multistrain SIS model with superinfection and patch structure
- Analysis and Control of a Continuous-Time Bi-Virus Model
- Dynamics of Two-Strain Influenza with Isolation and Partial Cross-Immunity
- The Role of Coinfection in Multidisease Dynamics
- Cooperative Control of Dynamical Systems
- Differentiable dynamical systems
- Matrix Iterative Analysis
- Analysis and Distributed Control of Periodic Epidemic Processes
- Matrix theory. Basic results and techniques
- Equilibria Analysis of a Networked Bivirus Epidemic Model Using Poincaré–Hopf and Manifold Theory
- Matrix Analysis and Applied Linear Algebra, Second Edition
- Competitive dual-strain SIS epidemiological models with awareness programs in heterogeneous networks: two modeling approaches
- A multi-strain model with asymptomatic transmission: application to COVID-19 in the US
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