Influenza is a famous infectious disease worldwide. The disease is caused by influenza virus strains of type A, B and C. This virus attacks the bottom of the respiratory tract and one individual can be infected repeatedly with different strain types. Thus, in certain seasons, a population may be infected by two different types of viruses. In this study, the SIS...
Tuberculosis (TB) is one of deadly infectious diseases. The ordinary treatment for this disease is by using antibiotics, within non stop duration of 6 months. There are many cases for many reasons, that patients receive treatment less than required duration of treatment. This condition, called improper treatment, unfortunately could lead to Multi-drug Resistant Tuberculosis (MDR-TB) which is...
Disturbances in the cellular environment can lead to variations in the chemical profile of the cytoplasm and result in deviations from homeostasis that are detrimental to the organism. In response, cellular networks have evolved to be robust to such perturbations but network complexity and the elusiveness of parameter values makes analysis difficult. Studying the network topology provides a...
Mosquitoes infected with Wolbachia bacteria are less capable of transmitting dengue fever, Zika, and chikungunya and have shorter lifespan. In this talk, I present the mathematical model developed to quantify the impact of infecting wild Aedes aegypti and Aedes albopictus mosquitoes with wAlbB and wMel strains of Wolbachia in reducing the transmission of these diseases. The model...
In this paper, a model for the human immunodeficiency virus (HIV) infection among female sexual workers and injecting drug users is formulated. The injecting drug users (IDUs) are also considered as clients, therefore there are two transmission routes considered in this model: needle sharing between IDUs and commercial sex between female sex workers and IDUs as clients. This model also...
A deterministic non-linear epidemic model SEQIHRVS is proposed for the transmission dynamics of an infectious disease. Quarantine, isolation and vaccination are used as control strategies in a community with pre-existing immunity. Impact of the change in the psychological behaviour of the population on infectious force due to media coverage of disease-spreading is incorporated in the model....
Leukemia evolves as a complex, dynamic system of multi-dimensional generic, epigenetic and micro-environmental alterations. System biology approaches to integrate a myriad of “omics” data over the course of disease progression offer promising opportunities of tracking disease evolution and predicting trajectory. However, satisfying methods and theories to model the dynamics and interpret these...
Endoplasmic Reticulum (ER) is a vital part for functional protein synthesis in eukaryotic cells. ER stress is caused by over-accumulation of unfolded or misfolded proteins, which are massively produced in dysfunctional protein synthesis, in the ER lumen. For a plant cell, ER stress can be induced by various environment factors, such as abiotic stress, saline stress and heat stress. At the same...
Dim light vision relies on rod bipolar cells to relay light information from rod photoreceptors to downstream neurons in the retina. Rod bipolar cells release glutamate in proportion to their photoreceptor response-driven depolarization, but this depolarization can also be modulated by the activity of retinal interneurons. Blocking or eliminating rod bipolar cell GABA$_\text{C}$ receptors, a...
In this paper we investigated control optimal problem for rabies model between dogs and human with the effect of vaccination and sterilization in dogs. The functional objective is formulated to maximize susceptible classes and mimimize infection classes, the cost of vaccination and sterilization in dogs population. The optimal strategy of vaccine distribution is analyzed using Pontryagin...
Ecosystems are often modelled as directed graphs, representing flows of conserved quantities (e.g. biomass, energy, C, N) among a set of compartments (e.g. species, detritus). Ecological networks can be fairly large and complex. Decomposing an ecosystem model into smaller sub networks for easier analysis is often tempting. However, essential ecosystem behaviour may be lost by breaking...
The rural poor generally rely on their immediate natural environment for subsistence and suffer from high burdens of infectious diseases. We present a general framework for modelling the ecology of rural poverty, focusing on the exemplar drivers: infectious diseases, renewable resources, and land-use change. Interactions between these drivers and economics create reinforcing feedbacks...
Hepatitis B is a disease caused by the hepatitis B virus. It’s generally divided into 3 categories namely healthy carrier, acute hepatitis, and chronic hepatitis. The spread of hepatitis B disease can be modelled in a mathematical model. We develop the mathematical model to describe the spread of hepatitis B. We modify the model of SEIV by introducing recovery class into the model (SEIVR...
Many pathogens are transmitted by vectors, and transmission studies traditionally focus on vector-host-pathogen interactions. However, vectors are animals that forage in complex food webs, where they interact with individuals of many species across multiple trophic levels. These interactions might indirectly affect pathogens by altering vector fitness, movement, or feeding duration, although...
We consider a class of epidemiological models that includes most well-known dynamics for directly transmitted diseases, and some reduced models for indirectly transmitted diseases. We propose a simple observer that can be applied to models in this class. We analyse and implement this observer in two examples: the classical SIR model, and a reduced Bailey-Dietz model for vector-borne...
Over the past two decades, various modelling and simulation approaches have been proposed for stochastic reaction-diffusion processes. These include compartment-based (and event-based) algorithms such as the Next Subvolume Method (NSVM), which is based on the Reaction Diffusion Master Equation formalism, and particle-based (and time-driven) Brownian dynamics (BD) models such as Smoluchowski...