Search
Search Results
-
Modeling effects of impulsive control strategies on the spread of mosquito borne disease: role of latent period
Controlling the mosquito population is a big challenge for humans. In this paper, we have studied the effects of impulsive control strategies on the...
-
Modeling the Effects of Latency Reversing Drugs During HIV-1 and SIV Brain Infection with Implications for the “Shock and Kill” Strategy
Combination antiretroviral therapy (cART) has greatly increased life expectancy for human immunodeficiency virus-1 (HIV-1)-infected patients. Even...
-
Stability of delayed HIV dynamics models with two latent reservoirs and immune impairment
The purpose of this paper is to investigate the qualitative behavior of HIV dynamics models with immune impairment. The HIV particles infect both CD4 + ...
-
Modeling Antiretrovial Treatment to Mitigate HIV in the Brain: Impact of the Blood-Brain Barrier
Current research in Human Immunodeficiency Virus (HIV) focuses on eradicating virus reservoirs that prevent or dampen the effectiveness of...
-
Modeling of Paraffin Deposition During Oil Production by Cold Water Injection
AbstractA new approach to modeling paraffin wax deposition during cold water injection into petroleum reservoirs has been developed. In the model,...
-
A delay model for persistent viral infections in replicating cells
Persistently infecting viruses remain within infected cells for a prolonged period of time without killing the cells and can reproduce via budding...
-
Lyme Disease Models of Tick-Mouse Dynamics with Seasonal Variation in Births, Deaths, and Tick Feeding
Lyme disease is the most common vector-borne disease in the United States impacting the Northeast and Midwest at the highest rates. Recently, it has...
-
Three-stage modeling of HIV infection and implications for antiretroviral therapy
We consider a deterministic model of HIV infection that involves macrophages as a long-term active reservoir to describe all three stages of the...
-
Modeling Fluid Flows in Oil Fields Using the Kalman Filter
In this paper, we present a statistical model of the relationship between injection and production wells on an oil field. The model is based on...
-
Mathematical Modeling of the Gas Hydrate Formation Process in a Porous Reservoir, Taking into Account Nonequilibrium Phase Transition
AbstractUnderground geological storage based on gas hydrate is an effective method of storing methane, which ensures its safety for the required...
-
Data Assimilation Predictive GAN (DA-PredGAN) Applied to a Spatio-Temporal Compartmental Model in Epidemiology
We propose a novel use of generative adversarial networks (GANs) (i) to make predictions in time (PredGAN) and (ii) to assimilate measurements...
-
Modeling HIV Dynamics Under Combination Therapy with Inducers and Antibodies
A mathematical model is proposed to simulate the “shock-kill” strategy where broadly neutralizing antibodies (bNAbs) are injected with a combination...
-
Optimal control of visceral, cutaneous and post kala-azar leishmaniasis
This article focuses on the eradication of different strains of leishmaniasis with the help of almost nonpharmaceutical interventions (NPIs)....
-
Perron–Frobenius Theorem and Some Applications
The Perron–Frobenius theory of nonnegative matrices has many useful dynamical consequences, in the field of Markov shifts in particular. The math in...
-
A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+ T Cells
In this paper, we investigate a delayed HIV infection model that considers the homeostatic proliferation of CD4 + T cells. The existence and stability...
-
Randomized reduced forward models for efficient Metropolis–Hastings MCMC, with application to subsurface fluid flow and capacitance tomography
Bayesian modelling and computational inference by Markov chain Monte Carlo (MCMC) is a principled framework for large-scale uncertainty...
-
Mathematical Modeling of the Process of Gas Injection into a Reservoir with the Formation of Gas Hydrate and Melting of Ice
AbstractBased on the methods and equations of the mechanics of multiphase media, a mathematical model of gas injection into a reservoir saturated...
-
Preliminary prediction of the control reproduction number of COVID-19 in Shaanxi Province, China
ObjectivesFirstly, according to the characteristics of COVID-19 epidemic and the control measures of the government of Shaanxi Province, a general...
-
Effect of cellular reservoirs and delays on the global dynamics of HIV
We investigate general HIV infection models with three types of infected cells: latently infected cells, long-lived productively infected cells, and...
-
Atto-Foxes and Other Minutiae
This paper addresses the problem of extinction in continuous models of population dynamics associated with small numbers of individuals. We begin...
