13 Result(s)
within
Bilgen Kaymakamzade
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Article
Open AccessModeling Klebsiella pneumonia infections and antibiotic resistance dynamics with fractional differential equations: insights from real data in North Cyprus
This study presents an enhanced fractional-order mathematical model for analyzing the dynamics of Klebsiella pneumonia infections and antibiotic resistance over time. The model incorporates fractional Caputo deri...
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Article
Open AccessA fractional-order mathematical model for lung cancer incorporating integrated therapeutic approaches
This paper addresses the dynamics of lung cancer by employing a fractional-order mathematical model that investigates the combined therapy of surgery and immunotherapy. The significance of this study lies in i...
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Chapter
Importance of Carrying Capacity While Fighting with COVID-19
Carrying capacity plays an important role in the research area as it determines the maximum capacity of the system. In epidemiology, vaccine is an efficient control strategy that affects the carrying capacity ...
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Chapter
Determination of the Epidemic Character of HIV Infections in Children in Turkey Using a Mathematical Model
HIV not only affects adults but also infants and children. In 2020, 1.7 million children under the age of 15 were living with HIV and 100,000 HIV-related deaths occurred in children. This study aims to examine...
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Chapter
Analyzing the Relationship Between Covid-19 and Proportions of Vaccine & Mobility
In this paper, Covid-19 is studied as an infectious disease. A mathematical model is constructed to see the effect of vaccine and mobility on the spread of the disease. Firstly, model is proposed, then analysi...
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Chapter
Analysis and Simulation of HIV Infected Children Transmission Dynamics in Turkey Using a Mathematical Model
Child HIV infections are an important part of HIV prevalence today. The path of infection can occur either vertically, from mother to a child, or horizontally via sexual contact, blood transfusion, etc. Observ...
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Chapter and Conference Paper
Trends and Risk of HIV/AIDS in Turkey and Its Cities
We developed a mathematical model to study the dynamics of HIV/AIDS in Turkey and its environs. Two equilibrium points were found and local stability analysis of the equilibria was conducted. It was found th...
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Chapter and Conference Paper
Comparison of the Rate of Induced Intrinsic Pathway of Apoptosis on COLO-320 and COLO-741
Mathematical modeling is a key tool in understanding complicated behavior of large signal transduction networks. In this paper a mathematical model is developed to understand the complex signaling behavior of...
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Chapter and Conference Paper
Global Stability Analysis of HIV+ Model
We developed and studied a mathematical model of HIV+. Two equilibriums points were found, disease free and endemic equilibrium, and basic reproduction ratio ...
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Chapter and Conference Paper
Dynamics and Control of HIV/AIDS in Cyprus Using Real Data
This article presents a mathematical model that studies the dynamics of HIV in North and South Cyprus. The global stability of the two equilibrium points involved are disease-free and endemic, and are performe...
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Article
Dynamics of HIV/AIDS in Turkey from 1985 to 2016
In this paper, we formulated a mathematical model that studies the dynamics of HIV/AIDS in Turkey from 1985 to 2016. We find two equilibrium points, disease free equilibrium and endemic equilibrium. Global sta...
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Article
Role of awareness in controlling HIV/AIDS: a mathematical model
This paper proposes and analyzes two epidemic models incorporating the effects of the awareness programs. One of the models is for HIV awareness and the other AIDS awareness. Awareness programs play a promisin...
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Article
Two-strain epidemic model with two vaccinations and two time delayed
In this paper, a delayed epidemic model consisting of two strains with vaccine for each strain is formulated. The model consist of four equilibrium points; disease free equilibrium, endemic with respect to str...
