A5085108486- Mathematical and Theoretical Epidemiology and Ecology Models
- Parasitic Diseases Research and Treatment
- Evolution and Genetic Dynamics
- COVID-19 epidemiological studies
- Parasite Biology and Host Interactions
- Mosquito-borne diseases and control
- Fractional Differential Equations Solutions
- Parasites and Host Interactions
- Mathematical Biology Tumor Growth
- Insects and Parasite Interactions
- SARS-CoV-2 and COVID-19 Research
- Reproductive tract infections research
- Animal Ecology and Behavior Studies
- Gene Regulatory Network Analysis
- Insect symbiosis and bacterial influences
- Evolutionary Game Theory and Cooperation
- Nonlinear Dynamics and Pattern Formation
- Alcohol Consumption and Health Effects
- Climate Change and Health Impacts
- COVID-19 Pandemic Impacts
- Animal Disease Management and Epidemiology
- Viral Infections and Vectors
- Adolescent Sexual and Reproductive Health
- Differential Equations and Numerical Methods
- Nonlinear Differential Equations Analysis
Rayat Shikshan Sanstha
2020-2024
Christian Medical College
2021-2023
Christian Medical College, Vellore
2021-2023
Erasmus MC
2022
Swiss Tropical and Public Health Institute
2022
Imperial College London
2022
Radboud University Nijmegen
2022
Radboud University Medical Center
2022
University of Warwick
2022
University of Notre Dame
2017-2022
In this paper, we have developed a compartment of epidemic model with vaccination. We divided the total population into five classes, namely susceptible, exposed, infective, infective in treatment and recovered class. discussed about basic properties system found reproduction number (R 0 ) system. The stability analysis shows that is locally as well globally asymptotically stable at disease-free equilibrium E when R < 1. When > 1 endemic exists becomes under some conditions. also two...
We have considered a tumor growth model with the effect of tumor-immune interaction and chemotherapeutic drug. two immune components—helper (resting) T-cells which stimulate CTLs convert them into active (hunting) CTL cells attack, destroy, or ingest cells. In our there are four compartments, namely, cells, helper T-cells, discussed behaviour solutions system. The dynamical system by analyzing existence stability at various equilibrium points is elaborately. set up an optimal control problem...
Abstract Background In view of the current global coronavirus disease 2019 pandemic, mass drug administration interventions for neglected tropical diseases, including lymphatic filariasis (LF), have been halted. We used mathematical modelling to estimate impact delaying or cancelling treatment rounds and explore possible mitigation strategies. Methods three established LF transmission models simulate infection trends in settings with annual programme delays 2020 6, 12, 18 24 months. then...
<title>Abstract</title> The consideration of a predator-prey system that follows the Rosenzweig-MacArthur model is done in this article. logistic growth prey population taken into account where predator not present. For population, functional response Holling type-II. A stock an additional food term made available to species. stability equilibrium points are analyzed together with positivity and existence solutions. Lyapunov function befitting established for study global system. In real...
The low prevalence levels associated with lymphatic filariasis elimination pose a challenge for effective disease surveillance. As more countries achieve the World Health Organization criteria halting mass treatment and move on to surveillance, there is increasing reliance utility of transmission assessment surveys (TAS) measure success. However, long-term outcomes after passing TAS are largely untested. Using 3 well-established mathematical models, we show that low-level can be maintained...
An extended SEIQR type model is considered in order to the COVID-19 epidemic. It contains classes of susceptible individuals, exposed, infected symptomatic and asymptomatic, quarantined, hospitalized recovered. The basic reproduction number final size epidemic are determined. used fit available data for some European countries. A more detailed with two different subclasses individuals introduced study influence social interaction on disease progression. coefficient $K$ characterizes level...
Background Mass drug administration (MDA) is the main strategy towards lymphatic filariasis (LF) elimination. Progress monitored by assessing microfilaraemia (Mf) or circulating filarial antigenaemia (CFA) prevalence, latter being more practical for field surveys. The current criterion stopping MDA requires <2% CFA prevalence in 6- to 7-year olds, but this not evidence-based. We used mathematical modelling investigate validity of different thresholds regarding testing method and age group...
In earlier literature, a version of classical three‐species food chain model, with modified Holling type IV functional response, is proposed. Results on the global boundedness solutions to model system under certain parametric restrictions are derived, and chaotic dynamics shown. We prove that in fact possesses explosive instability, can explode/blow up finite time, for initial conditions, even literature. Furthermore, we derive Hopf bifurcation criterion, route chaos, Turing case spatially...
In this paper, we have developed a five-compartmental epidemic model with Chlamydia infection. We divided the total population into five classes, namely susceptible, exposed, infective in asymptomatic phase, symptomatic phase and recovered class. The basic reproduction number (R 0 ) is calculated using next-generation matrix method. stability analysis of shows that system locally asymptotically stable at disease-free equilibrium (DFE) E when R < 1. When > 1, an endemic 1 exists becomes...
In this paper, we have introduced a six-compartmental epidemic model with hand, foot and mouth disease (HFMD) infection. The total population is divided into six subclasses, namely susceptible, exposed, infective in asymptomatic phase, symptomatic quarantined recovered class. Some basic properties such as boundedness non-negativity of solutions are discussed. reproduction number ([Formula: see text]) the system obtained using next generation matrix method. Then deterministic dynamical...
Abstract We leveraged the ability of EPIFIL transmission models fit to field data evaluate use WHO Transmission Assessment Survey (TAS) for supporting Lymphatic Filariasis (LF) intervention stopping decisions. Our results indicate that understanding underlying parasite extinction dynamics, particularly protracted transient dynamics involved in shifts extinct state, is crucial impacts using TAS determining achievement LF elimination. These findings warn employing criteria set operational...
Abstract Background Lymphatic filariasis (LF) is a neglected tropical disease targeted for elimination as public health problem by 2030. Although mass treatments have led to huge reductions in LF prevalence, some countries or regions may find it difficult achieve 2030 owing various factors, including local differences transmission. Subnational projections of intervention impact are useful tool understanding these dynamics, but correctly characterizing their uncertainty challenging. Methods...
In this paper we have developed a mathematical model of alcohol abuse. It consists four compartments corresponding to population classes, namely, moderate and occasional drinkers, heavy drinkers in treatment temporarily recovered class. Basic reproduction number <TEX>$R_0$</TEX> has been determined. Sensitivity analysis identifies <TEX>${\beta}_1$</TEX>, the transmission coefficient from drinker drinker, as most useful parameter target for reduction <TEX>$R_0$</TEX>. The is locally...