Mathematical and Theoretical Epidemiology and Ecology Models

Biological invasions forming intraguild predation communities in homogeneous and heterogeneous landscapes

The paper models biological invasions in IGP communities across homogeneous and heterogeneous landscapes using reaction-diffusion equations, showing how invasion speeds and coexistence depend on habitat structure and species interactions.

Dynamic analysis of Q-fever transmission among cattle in the Tropical Savannah Grassland zone of Ghana.

This study models Q-fever transmission in Ghanaian cattle using a non-linear differential equation model to show how vaccination and recovery rates influence disease dynamics and control.

Evaluating the Fidelity of Data-Driven Predator-Prey Models: A Dynamical Systems Analysis

This paper evaluates a data-driven method's ability to replicate predator-prey dynamics using SINDy, showing consistency but also parameter sensitivity and the need for extensive data.

Deciphering Memory Patterns in Eco-Epidemiological systems through the lens of BaFOMS: A Bayesian Fractional Order Model Selection Method

This paper introduces BaFOMS, a Bayesian method for selecting fractional order models to analyze eco-epidemiological systems, demonstrating its effectiveness in parameter estimation and forecasting.

A simple model of population dynamics with beneficial and harmful interaction networks for empirical applications.

This paper introduces a simple population dynamics model that can handle both beneficial and harmful interactions, demonstrating its applicability in data-poor ecological scenarios.

A unified theory for predicting pathogen mutual invasibility and co-circulation

This paper develops a framework to predict pathogen mutual invasibility and co-circulation using ecological theory, finding near-universal mutual invasibility across major pathogen systems.

Pulse Instabilities Can Shape Virus-Immune Co-evolution

This study introduces a stochastic model of viral-host co-evolution showing that pulse instabilities can lead to extended endemic infection patterns in large host populations with finite immune memory.

Parasitic and Commensal interactions among Mimiviruses, Sputnik-like virophages, and Transpovirons: A theoretical and dynamical systems approach.

The paper develops a dynamical systems model to study interactions among Mimiviruses, virophages, and transpovirons, finding oscillatory behavior but unclear biological mechanisms for transpoviron persistence.

Extinction probabilities of small structured populations: adequate short-term model predictions in Folsomia candida

The paper predicts extinction probabilities in structured populations using branching process models and validates them with experimental data on Folsomia candida.

Population dynamics in spatial suppression gene drive models and the effect of resistance, density dependence, and life history

This study analyzes spatial suppression gene drive dynamics, finding that larger areas and certain life history traits increase vulnerability to chasing, while resistance mechanisms affect drive performance.

Heterogeneous shedding and susceptibility in a Caenorhabditis elegans transmission model

This study uses Caenorhabditis elegans to quantify heterogeneity in bacterial transmission by decoupling shedding and susceptibility distributions.

Stochastic foraging paths primarily drives within-species variations of prey consumption rates

The paper challenges the belief that environmental and individual variabilities drive prey consumption rate variation, showing stochastic foraging paths are the main driver.

Biodiversity is enhanced by sequential resource utilization and environmental fluctuations via emergent temporal niches

The paper shows that sequential resource use and environmental changes create temporal niches, allowing more species to coexist than resources alone.

DeepDynaForecast: Phylogenetic-informed graph deep learning for epidemic transmission dynamic prediction

DeepDynaForecast uses phylogenetic trees and graph deep learning to predict epidemic transmission dynamics, showing accuracy in simulated and real HIV data.

Stochastic model of vesicular stomatitis virus replication reveals mutational effects on virion production

This paper develops a stochastic model of VSV replication to study how mutations affect virion production and intercellular variability.

Manifesto of Transparent Mathematical Modeling: From Ecology to General Science

The paper develops transparent mathematical models using logical deterministic cellular automata to address issues in ecological modeling and scientific reasoning.

Waiting for the Perfect Vaccine

The paper models optimal vaccination coverage with low-efficacy vaccines during outbreaks, showing that high coverage may reduce severe outcomes even if it doesn't minimize total infections.

Identifiability investigation of within-host models of acute virus infection

This study investigates parameter identifiability in within-host influenza models using structural and practical analyses to guide model development and experimental design.

Development and Analysis of Multiscale Models for Tuberculosis: From Molecules to Populations

The paper reviews multiscale modeling approaches for infectious diseases and introduces two tools for calibrating and resolving multiscale models, using tuberculosis as an example.

Dynamic analysis and control of a rice-pest system under transcritical bifurcations

This study reformulates a rice-pest-control model to optimize pest management by combining cultural methods and pesticides, reducing environmental impact and increasing rice production.

Modelling the effect of migration on the localisation and spread of a gene drive

This paper models how migration affects gene drive spread and displacement in populations.

Computationally efficient framework for diagnosing, understanding, and predicting biphasic population growth

The paper develops a computationally efficient framework for diagnosing, understanding, and predicting biphasic population growth using profile likelihood analysis.

A simple within-host, between-host model for a vector-transmitted disease

The paper develops a model linking epidemiological and immunological dynamics to show sustained low viral load infections can trigger epidemics even with within-host reproduction numbers below one.

Dispersal and Plant Arrangement Condition the Timing and Magnitude of Coffee Rust Infection

The paper models coffee rust infection dynamics by incorporating spatial factors like dispersal and planting patterns to explain infection timing and intensity.

Towards Environmental Control of Microbiomes

This paper extends an ecological model to predict microbiome dynamics under environmental changes and shows how precise environmental perturbations can improve microbiome control.

Differential Methods for Assessing Sensitivity in Biological Models

The paper compares differential sensitivity analysis methods for biological models, finding forward-mode differentiation is fastest and complex-perturbation is simplest to implement.

Generic Approach For Mathematical Model of Multi-Strain Pandemics

The paper introduces a mathematical model to assess multi-strain pandemics' impact on mortality, reproduction number, and infection peaks, showing logarithmic growth in infected numbers and equivalence to single-strain reproduction numbers.

Estimates of the basic reproduction number for rubella using seroprevalence data and indicator-based approaches

This paper estimates the basic reproduction number (R0) for rubella in 98 settings using seroprevalence data and evaluates indicator-based approaches, finding that regional averaging performs as well as machine learning methods.

A mechanistic spatiotemporal model for drug resistant infections

This paper introduces a hierarchical mechanistic Bayesian model for epidemiological inference, showing it effectively identifies transmission patterns and hotspots in drug-resistant pathogens.

The Impact of Protection Measures and Treatment onPneumonia Infection Model

This study constructs a mathematical model to analyze how protection measures and treatment affect pneumonia transmission dynamics, finding that reducing the effective reproduction number below 1 is not always sufficient to eliminate the disease.