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Article
Kidnap** dynamics: a Lotka–Volterra approach with fractional order modeling
This paper investigates the dynamics of kidnap** incidents through the application of the Lotka-Volterra model with fractional order modeling. Drawing parallels between predator–prey interactions in ecologic...
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Article
Open AccessFlip bifurcation analysis and mathematical modeling of cholera disease by taking control measures
To study the dynamical system, it is necessary to formulate the mathematical model to understand the dynamics of various diseases which are spread in the world wide. The objective of the research study is to a...
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Article
Open AccessA new optimal root-finding iterative algorithm: local and semilocal analysis with polynomiography
In this work, a new optimal iterative algorithm is presented with fourth-order accuracy for root-finding of real functions. It uses only function as well as derivative evaluation. The algorithm is obtained as ...
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Article
New cyclic groups based on the generalized order-k Pell sequences in the Heisenberg group and their application in cryptography
In this paper, we consider the finite groups $$\begin{aligned} H_{(t,l,m)}=\langle a,b,c | a^t=b^l=c^m=1, [a,b]=c, [a,c]=[b,c]=1\rangle . \end{aligned...
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Chapter and Conference Paper
Propagation of Bright Solitons for KdV-Type Equations Involving Triplet Dispersion
In the present paper, a series of KdV-type equations with triplet dispersion, as mathematical models of waves on shallow water surfaces, are explored. Bright solitons of the governing equations involving tripl...
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Article
Open AccessGeneralized Ulam-Hyers-Rassias stability and novel sustainable techniques for dynamical analysis of global warming impact on ecosystem
Marine structure changes as a result of climate change, with potential biological implications for human societies and marine ecosystems. These changes include changes in temperatures, flow, discrimination, nu...
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Article
The \((2 + 1)\) -dimensional generalized time-fractional Zakharov Kuznetsov Benjamin Bona Mahony equation: its classical and nonclassical symmetries, exact solutions, and conservation laws
In the present paper, a model of the gravitational waves of water known as the \((2 + 1)\) ...
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Article
Bifurcation analysis, chaotic behaviors, sensitivity analysis, and soliton solutions of a generalized Schrödinger equation
The main goal of the present study is to conduct a deeper investigation into a generalized Schrödinger equation describing the propagation of optical pulses in media. To this end, the dynamical system of the g...
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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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Article
A robust scheme for Caputo variable-order time-fractional diffusion-type equations
The focus of this work is to construct a pseudo-operational Jacobi collocation scheme for numerically solving the Caputo variable-order time-fractional diffusion-type equations with applications in applied sci...
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Article
Open AccessA new continuous hybrid block method with one optimal intrastep point through interpolation and collocation
Implicit block approaches are used by a number of numerical analyzers to model mild, medium, and hard differential systems. Their excellent stability characteristics, self-starting nature, quick convergence, a...
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Article
Open AccessSimulation of liver function enzymes as determinants of thyroidism: a novel ensemble machine learning approach
Hormone production by the thyroid gland is a prime aspect of maintaining body homeostasis. In this study, the ability of single artificial intelligence (AI)-based models, namely multi-layer perceptron (MLP), s...
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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
Reliability of Covid-19 PCR Test Results with Statistical Distributions
COVID-19, the causative agent being severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has been one of the most contagious diseases in the world leading to a pandamic. Many strategies have been impro...
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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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Article
Open AccessNew approximate analytical technique for the solution of time fractional fluid flow models
In this note, we broaden the utilization of an efficient computational scheme called the approximate analytical method to obtain the solutions of fractional-order Navier–Stokes model. The approximate analytica...
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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...
