Mathematical and Theoretical Epidemiology and Ecology Models

The paper infers and validates interaction parameters in Lotka-Volterra models using two new strategies and assesses data compliance with LV structure.

The paper develops a mathematical model showing that dividing cells and lytic viruses can coexist through viral load partitioning during cell division and growth.

This paper develops a model of adaptive social contact rates during epidemics, showing complex dynamics including oscillations and multiple peaks under parameter changes.

This paper investigates whether predator functional response follows mass action at macro-ecological scales and finds it follows a power-law with square root dependence on predator-prey densities.

This paper applies Pade-approximation based Differential Evolution to solve a nonlinear Hepatitis-B model, showing improved convergence and error performance compared to NSFD.

The paper introduces a sub-exponential branching process model to study early epidemic dynamics, applied to Ebola data showing sub-exponential transmission.

This study models ZIKV transmission through sexual contact networks with double asymmetric percolation, revealing a quadruple epidemic transition.

The paper develops a mathematical framework to model waterborne and indirectly transmitted infections and applies it to cholera and hepatitis C to show the importance of environmental reservoir dynamics.

The paper demonstrates that process noise can distinguish between indistinguishable stochastic population dynamics models using Bayesian methods and summary statistics.

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.

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.