Mathematical and Theoretical Epidemiology and Ecology Models

Interference with HIV infection of the first cell is essential for viral clearance in a pre-exposure prophylaxis model

The paper develops a mathematical model to predict HIV infection clearance with PrEP, showing that reducing infection frequency per cell is more effective than reducing viral burst size.

Accurate detection of HIV transmission clusters from phylogenetic trees using a multi-state birth-death model

The paper introduces a multi-state birth-death model to detect HIV transmission clusters from phylogenetic trees, showing it reliably infers cluster structure and transmission parameters.

Noise-induced bistability in the quasineutral coexistence of viral RNA under different replication modes

The paper studies noise-induced bistability in viral RNA replication modes using stochastic simulations and diffusion approximation, showing noise significantly impacts amplification and leads to bistability.

Discrete Modeling Dynamical Systems That Determine the Role of Biodiversity in Different Regimes of Using Resources at Different Levels of Organization of Living Matter

The paper models dynamic systems to analyze biodiversity's role in resource usage across different biological levels, showing that maximum resource usage regimes exhibit greater evenness in resource utilization strategies.

Parameter Estimation In Mathematical Models Of Viral Infections Using R

This paper describes a method for parameter estimation in viral infection models using R, applicable to influenza and other viruses.

Spatial gene drives and pushed genetic waves

The paper models how gene drives spread spatially and identifies conditions for controlled release and containment.

Variable species densities are induced by volume exclusion interactions upon domain growth.

This study shows that domain growth mechanisms affect species dominance and spatial density variation in multispecies agent populations.

Optimal homotopy analysis of a chaotic HIV-1 model incorporating AIDS-related cancer cells

The paper analyzes an HIV-1 model with cancer cells, showing chaotic dynamics and using optimal homotopy analysis to improve solution efficiency.