Diffusion Model related to Low and High Pathogenic Avian Influenza in Bird Populations and its Numerical Study The ODE model related to dynamics of low pathogenic avian influenza (LPAI) and high pathogenic avian influenza (HPAI) in bird population was proposed by Maia Martcheva and others. In this talk, I will cover following two aspects: 1) The model …
Effect of Phosphorous on West Nile Virus Replication: Combining Experiments with Modeling
Predicting disease outbreak in models of aquaculture Infectious Salmon Anemia (ISA) virus (ISAv) is an Orthomyxovirus which causes ISA in a variety of finfish including Atlantic salmon (Salmo salar L.). The disease has resulted in large mortality events and associated economic losses to the salmon culture industries in nearly all major salmon producing countries. We …
Approximating the probability of invasion in discrete stochastic population models When an individual with a novel trait is introduced in a new environment, we would like to understand what drives the likelihood that its lineage will persist. In deterministic population models, whether the invasive population “succeeds” often depends on whether the parameters of the system …
Spatial and temporal dynamics of dengue in southeast Asia Dengue viruses exist as four antigenically distinct serotypes DENV1-DENV4 that interact with each other in multiple immune-mediated mechanisms. One of these mechanisms, immune-mediated enhancement, through which immunity derived from one serotype leads to either enhanced disease or enhanced viral replication of subsequent infections, has been the focus of …
General ecological models for human subsistence, health and poverty. Part 1. The world’s rural poor rely heavily on their immediate natural environment for subsistence and suffer high rates of morbidity and mortality from infectious diseases. We present a general framework for modeling human subsistence and health of the rural poor based on coupling simple models …
General ecological models for human subsistence, health and poverty. Part 2. The world’s rural poor rely heavily on their immediate natural environment for subsistence and suffer high rates of morbidity and mortality from infectious diseases. We present a general framework for modeling human subsistence and health of the rural poor based on coupling simple models …
Mathematical models of poverty and infectious diseases Dr. Pilyugin will be presenting Dr. Ngonghala’s paper that is in review. Other topics may be discussed.
Unraveling within-host signatures of dengue infection at the population level Dengue virus causes worldwide concern with nearly 100 million infected cases reported annually. The within-host dynamics differ between primary and secondary infections, where secondary infections with a different virus serotype typically produce higher viral loads and induce more severe disease. We build upon the variable …
Intracellular transport: Inferring properties of molecular motors through rigor motor experiments and Bayesian inference. Part 1. Bayes’s Theorem yields the conditional probability of an event A given event B based on prior knowledge about related events. When considering distributions, Bayes’s Theorem can be used to describe the distribution of model parameters given observed data. In …
