Results 21 to 30 of about 722 (143)

A mathematical analysis of the impact of maternally derived immunity and double-dose vaccination on the spread and control of measles

open access: yesComputational and Mathematical Biophysics, 2023
Measles is a highly communicable viral infection that mostly affects children aged 5 years and below. Maternal antibodies in neonates help protect them from infectious diseases, including measles. However, maternal antibodies disappear a few months after
Opoku Samuel   +2 more
doaj   +1 more source

An in-host model of HIV incorporating latent infection and viral mutation [PDF]

open access: yes, 2015
We construct a seven-component model of the in-host dynamics of the Human Immunodeficiency Virus Type-1 (i.e, HIV) that accounts for latent infection and the propensity of viral mutation. A dynamical analysis is conducted and a theorem is presented which
A. Perelson   +10 more
core   +1 more source

Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates

open access: yesAdvances in Nonlinear Analysis, 2020
This paper concerns with detailed analysis of a reaction-diffusion host-pathogen model with space-dependent parameters in a bounded domain. By considering the fact the mobility of host individuals playing a crucial role in disease transmission, we ...
Wang Jinliang, Cui Renhao
doaj   +1 more source

Global Stability Analysis of a General Model of Zika Virus

open access: yesNonautonomous Dynamical Systems, 2019
Mathematical models of Zika virus dynamics are relatively new, and they mostly focus on either vector and horizontal, or vector and vertical transmission only.
Bessey K., Mavis M., Rebaza J., Zhang J.
doaj   +1 more source

Modelling, Analysis and Calculation of Cerebral Hemodynamics

open access: yesComputational and Mathematical Methods in Medicine, Volume 8, Issue 3, Page 205-223, 2007., 2007
Mathematical models of cerebral hemodynamics, applicable to humans and rats have been developed and analysed with the purpose of reaching a deeper insight to which degree experimental results on rats can be extrapolated to humans and to clinical management of patients. These models include regulation mechanisms involving the small cerebral arteries and
Silvia Daun, Thorsten Tjardes
wiley   +1 more source

Global properties of virus dynamics with B-cell impairment

open access: yesOpen Mathematics, 2019
In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified.
Elaiw Ahmed M.   +2 more
doaj   +1 more source

Genetic diversity in facultatively sexual populations and its implications for the origins of self-incompatibility in algae and fungi

open access: yesbioRxiv, 2021
The evolutionary mechanism that drove the establishment of self-incompatibility in early sexual eukaryotes is still a debated topic. While a number of competing hypotheses have been proposed, many have not received detailed theoretical attention.
Ashtyn Smith   +4 more
semanticscholar   +1 more source

On circle map coupled map lattice

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2887-2896, 2003., 2003
The circle map in one and two dimensions is studied. Both its stability and synchronization, using a bounded control and persistence, are discussed. This work is expected to be applicable in ecology where spatial effects are known to be important. Also, it will be relevant to systems where delay effects are not negligible.
E. Ahmed, A. S. Hegazi
wiley   +1 more source

Effects of behaviour change on HFMD transmission

open access: yesJournal of Biological Dynamics, 2023
We propose a hand, foot and mouth disease (HFMD) transmission model for children with behaviour change and imperfect quarantine. The symptomatic and quarantined states obey constant behaviour change while others follow variable behaviour change depending
Tongrui Zhang   +4 more
doaj   +1 more source

Growth of Phytoplankton

open access: yesBiomedical Journal of Scientific & Technical Research, 2019
A central problem in biological dynamical systems is to determine the boundaries of evolution. Although this is a general problem, we prefer to give solutions for growth of the phytoplankton. AMS Mathematical Classiftcation: 92D40, 35B36, 35Q92, 37N25.
C. Udrişte   +5 more
semanticscholar   +1 more source

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