Open Access. Powered by Scholars. Published by Universities.®
- Institution
- Keyword
-
- Optimal control (4)
- Epidemiology (3)
- Population model (3)
- Basic reproduction number (2)
- Equilibrium point (2)
-
- Global stability (2)
- Infectious disease (2)
- Lyapunov function (2)
- Medicine (2)
- Other (2)
- Adaptive Therapy (1)
- Annuals (Plants)--Growth (1)
- Backward bifurcation (1)
- Bacterial spread (1)
- Bifurcation analysis (1)
- Bioprocess engineering (1)
- Blood cells (1)
- Blood transfusion (1)
- Cancer cells (1)
- Central manifold theory (1)
- Chemical balance dynamics (1)
- Contact tracing (1)
- Cost-effectiveness (1)
- Curve fitting (1)
- Dynamic Leslie Model (1)
- E. coli (1)
- Ebola virus disease (1)
- Ecology (1)
- Effective reproduction number (1)
- Elimination of Forever Chemicals (1)
- Publication Year
- Publication
-
- Biology and Medicine Through Mathematics Conference (9)
- Annual Symposium on Biomathematics and Ecology Education and Research (8)
- Applications and Applied Mathematics: An International Journal (AAM) (7)
- Mathematical Modelling and Numerical Simulation with Applications (4)
- Department of Mathematics: Dissertations, Theses, and Student Research (2)
- Publication Type
Articles 31 - 34 of 34
Full-Text Articles in Control Theory
Dynamics Of An Sir Model With Nonlinear Incidence And Treatment Rate, Balram Dubey, Preeti Dubey, Uma S. Dubey
Dynamics Of An Sir Model With Nonlinear Incidence And Treatment Rate, Balram Dubey, Preeti Dubey, Uma S. Dubey
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, global dynamics of an SIR model are investigated in which the incidence rate is being considered as Beddington-DeAngelis type and the treatment rate as Holling type II (saturated). Analytical study of the model shows that the model has two equilibrium points (diseasefree equilibrium (DFE) and endemic equilibrium (EE)). The disease-free equilibrium (DFE) is locally asymptotically stable when reproduction number is less than one. Some conditions on the model parameters are obtained to show the existence as well as nonexistence of limit cycle. Some sufficient conditions for global stability of the endemic equilibrium using Lyapunov function are obtained. …
Mathematical Modeling And Analysis Of Leukemia: Effect Of External Engineered T Cells Infusion, Manju Agarwal, Archana S. Bhadauria
Mathematical Modeling And Analysis Of Leukemia: Effect Of External Engineered T Cells Infusion, Manju Agarwal, Archana S. Bhadauria
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, a nonlinear model is proposed and analyzed to study the spread of Leukemia by considering the effect of genetically engineered patients T cells to attack cancer cells. The model is governed by four dependent variables namely; naive or susceptible blood cells, infected or dysfunctional blood cells, cancer cells and immune cells. The model is analyzed by using the stability theory of differential equations and numerical simulation. We have observed that the system is stable in the local and global sense if antigenicity rate or rate of stimulation of immune cells is greater than a threshold value dependent …
Growth Patterns Of Ethnic Groups In Bexar County With Dynamic Leslie Models, Judith Arriaza, Zhanbo Yang, Flor De María García-Wukovits
Growth Patterns Of Ethnic Groups In Bexar County With Dynamic Leslie Models, Judith Arriaza, Zhanbo Yang, Flor De María García-Wukovits
Applications and Applied Mathematics: An International Journal (AAM)
The purpose of this study is to modify the Leslie model with a dynamic matrix for better population projections in Bexar County, where UIW is located and the authors reside. A dynamic matrix was used to improve the static Leslie model used in the previous study since human population growth is dynamic and complex. The matrix was constructed with functions that modeled the birth rates and survival rates. This allowed the rates to change from year to year. The population projections using the dynamic matrix were compared to the real population data and the static matrix. The researcher concluded that …
Mathematical Modeling Of Optimal Seasonal Reproductive Strategies And A Comparison Of Long-Term Viabilities Of Annuals And Perennials, Anthony Delegge
Mathematical Modeling Of Optimal Seasonal Reproductive Strategies And A Comparison Of Long-Term Viabilities Of Annuals And Perennials, Anthony Delegge
Department of Mathematics: Dissertations, Theses, and Student Research
In 1954, Lamont Cole posed a question which has motivated much ecological work in the past 50 years: When is the life history strategy of semelparity (organisms reproduce once, then die) favored, via evolution, over iteroparity (organisms may reproduce multiple times in their lifetime)? Although common sense should dictate that iteroparity would always be favored, we can observe that this is not always the case, since annual plants are not only prevalent, but can dominate an area. Also, certain plant species may be perennial in one region, but annual in another. Thus, in these areas, certain characteristics must be present …