Bifurcation Analysis of a Mathematical Model for Malaria Transmission

2006 ◽  
Vol 67 (1) ◽  
pp. 24-45 ◽  
Author(s):  
Nakul Chitnis ◽  
J. M. Cushing ◽  
J. M. Hyman
Keyword(s):  
Mathematical Model ◽  
Malaria Transmission ◽  
Bifurcation Analysis

Development and analysis of a malaria transmission mathematical model with seasonal mosquito life‐history traits

2019 ◽  
Vol 144 (4) ◽  
pp. 389-411 ◽  
Author(s):  
Ramsés Djidjou‐Demasse ◽  
Gbenga J. Abiodun ◽  
Abiodun M. Adeola ◽  
Joel O. Botai
Keyword(s):  
Mathematical Model ◽  
Life History ◽  
Malaria Transmission ◽  
Life History Traits

scholarly journals The mathematical stability study for the system of the CoO(OH) – overoxidized polypyrrole composite synthesis in the presence of fluor ions

2016 ◽  
Vol 16 ◽  
pp. 13-17
Author(s):  
V. Tkach ◽  
S.C. De Oliveira ◽  
R. Ojani ◽  
P.I. Yagodynets ◽  
U. Páramo-García
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Bifurcation Analysis ◽  
Stability Theory ◽  
Stability Study ◽  
Linear Stability Theory ◽  
Monotonic Instability ◽  
Overoxidized Polypyrrole ◽  
Polypyrrole Composite ◽  
Steady State Stability

The potentiostatic synthesis of CoO(OH) – Overoxidized polypyrrole composite in the presence of fluor ions has been investigated mathematically. The corresponding mathematical model was described and analyzed by means of linear stability theory and bifurcation analysis. The steady-state stability requirements, like also oscillatory and monotonic instability conditions are derived.Mongolian Journal of Chemistry 16 (42), 2015, 13-17

scholarly journals Theoretical Description for Chlorantraniliprole Electrochemical Determination, Assisted by Squaraine Dye Nano Ag2O2 Composite

2020 ◽  
Vol 11 (2) ◽  
pp. 9278-9284
Keyword(s):  
Mathematical Model ◽  
Reaction Mechanism ◽  
Bifurcation Analysis ◽  
Electrochemical Determination ◽  
Theoretical Description ◽  
The Other ◽  
Linear Stability Theory ◽  
Oxide Nanoparticles ◽  
Monotonic Instability ◽  
Squaraine Dye

The theoretical description for the chlorantraniliprole electrochemical determination, assisted by the hybrid composite of squaraine dye with Ag2O2 nanoparticles, has been described. The correspondent reaction mechanism has been proposed, and the correspondent mathematical model has been developed and analyzed by means of linear stability theory and bifurcation analysis. It has been shown that the chlorantraniliprole electrochemical anodic determination on high potential may be efficiently provided by silver (I, III) oxide nanoparticles, stabilized by the squaraine dye. On the other hand, the oscillatory and monotonic instability is also possible, being caused by DEL influences of the electrochemical stage.

scholarly journals Bifurcation analysis of a mathematical model of atopic dermatitis to determine patient-specific effects of treatments on dynamic phenotypes

2018 ◽  
Vol 448 ◽  
pp. 66-79 ◽  
Author(s):  
Gouhei Tanaka ◽  
Elisa Domínguez-Hüttinger ◽  
Panayiotis Christodoulides ◽  
Kazuyuki Aihara ◽  
Reiko J. Tanaka
Keyword(s):  
Mathematical Model ◽  
Atopic Dermatitis ◽  
Bifurcation Analysis ◽  
Patient Specific ◽  
Specific Effects

Bifurcation Analysis of a Model Accounting for the 14-3-3s Signalling Compartmentalisation

2012 ◽  
pp. 61-70
Author(s):  
S. Nikolov ◽  
J. Vera ◽  
O. Wolkenhauer
Keyword(s):  
Mathematical Model ◽  
Cell Cycle ◽  
Phase Portrait ◽  
Bifurcation Analysis ◽  
Subcellular Localisation ◽  
Loss Of Stability ◽  
Cycle Arrest ◽  
Reversible Loss ◽  
Analytical Tools

Bifurcation theory studies the qualitative changes in the phase portrait when we vary the parameters of the system. In this book chapter we adapt and extend a mathematical model accounting for the subcellular localisation of 14-3-3s, a protein involved in cell cycle arrest and the regulation of apoptosis. The model is analysed with analytical tools coming from Lyapunov-Andronov theory, and our analytical calculations predict that soft (reversible) loss of stability takes place.

INFLUENCE OF ASYMPTOMATIC PEOPLE ON MALARIA TRANSMISSION: A MATHEMATICAL MODEL FOR A LOW-TRANSMISSION AREA CASE

2020 ◽  
Vol 28 (01) ◽  
pp. 167-182
Author(s):  
IULIA MARTINA BULAI ◽  
STÉPHANIE DEPICKÈRE ◽  
VITOR HIRATA SANCHES
Keyword(s):  
Mathematical Model ◽  
Mortality Rate ◽  
Malaria Transmission ◽  
Equilibrium Points ◽  
Asymptomatic Infection ◽  
Human Populations ◽  
High Morbidity ◽  
Low Transmission ◽  
Transmission Area ◽  
Using Data

Malaria remains a primary parasitic disease in the tropical world, generating high morbidity and mortality in human populations. Recently, community surveys showed a high proportion of asymptomatic cases, which are characterized by a low parasitemia and a lack of malaria symptoms. Until now, the asymptomatic population is not treated for malaria and thus remains infective for a long time. In this paper, we introduce a four-dimensional mathematical model to study the influence of asymptomatic people on malaria transmission in low-transmission areas, specifically using data from Brazil. The equilibrium points of the system are calculated, and their stability is analyzed. Via numerical simulations, more in-depth analyzes of the space of some crucial parameters on the asymptomatic population are done, such as the per capita recovery rates of symptomatic and asymptomatic people, the ratio of the density of mosquitoes to that of humans, the mortality rate of mosquitoes and the probability of undergoing asymptomatic infection upon an infectious mosquito bite. Our results indicate that the disease-free equilibrium is inside the stability region if asymptomatic people are treated and/or the ratio of the density of mosquitoes to that of humans is decreased and/or the mortality rate of mosquitoes is increased.

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