Researcher Image
رشا مجيد ياسين جابر - Rasha Majeed Yaseen
PhD - lecturer
Al-Khwarizmi College of Engineering , Department of Biomedical Engineering
[email protected]
Summary

Current Scientific degree: Lecturer of Mathematics in the field of Dynamical Systems. Date and place of birth 1979 Baghdad. Date of employment: 20/5/2005 Assistant lecturer for the period 2012–2015 Lecturer for the period 2012–2024

Qualifications

B.Sc. in Mathematics from the University of Baghdad, Iraq. Msc. in Mathematics, from the University of Baghdad, Iraq. Ph.D. in Mathematics from the University of Baghdad, Iraq.

Research Interests

General Fields: Mathematical Biology, Mathematical Modeling, and Dynamical Systems. Specific Topics: Population Dynamics, Differential Equations

Teaching

Undergraduate courses: The following courses were given

Mathematics I (first-year B.Sc. students) was given in past years and continues to be given today. Mathematics II (for for second-year B.Sc. students) was given in past years and continues to be given today. Linear programmingwas (for for second-year B.Sc. students) was given in 2015-2016. Mathematical analysis (for third-year B.Sc. students) was given in 2016-2017.

Publication Date
Fri Sep 06 2024
Journal Name
Brazilian Journal Of Physics
Effect of the Fear Factor and Prey Refuge in an Asymmetric Predator–Prey Model
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This study investigates the influence of fear, refuge, and migration in a predator–prey model, where the interactions between the species follow an asymmetric function response. In contrast to some other findings, we propose that prey develop an anti-predator response in response to a concentration of predators, which in turn increases the fear factor of the predators. The conditions under which all ecologically meaningful equilibrium points exist are discussed in detail. The local and global dynamics of the model are determined at all equilibrium points. The model admits several interesting results by changing the rate of fear of predators and predator aggregate sensitivity. Numerical simulations have been performed to verify our theoret

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Publication Date
Mon May 12 2025
Journal Name
Boundary Value Problems
Minimal wave speed and traveling wave in nonlocal dispersion SIS epidemic model with delay
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This study examines traveling wave solutions of the SIS epidemic model with nonlocal dispersion and delay. The research shows that a key factor in determining whether traveling waves exist is the basic reproduction number R0. In particular, the system permits nontrivial traveling wave solutions for σ≥σ∗ for R0>1, whereas there are no such solutions for σ<σ∗. This is because there is a minimal wave speed σ∗>0. On the other hand, there are no traveling wave solutions when R0≤1. In conclusion, we provide several numerical simulations that illustrate the existence of TWS.

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Publication Date
Sun Dec 01 2024
Journal Name
Partial Differential Equations In Applied Mathematics
The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation
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In this study, a cholera model with asymptomatic carriers was examined. A Holling type-II functional response function was used to describe disease transmission. For analyzing the dynamical behavior of cholera disease, a fractional-order model was developed. First, the positivity and boundedness of the system's solutions were established. The local stability of the equilibrium points was also analyzed. Second, a Lyapunov function was used to construct the global asymptotic stability of the system for both endemic and disease-free equilibrium points. Finally, numerical simulations and sensitivity analysis were carried out using matlab software to demonstrate the accuracy and validate the obtained results.

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Publication Date
Thu May 30 2024
Journal Name
Iraqi Journal Of Science
Bifurcation and Stability Analysis of Stagnation Point for Fluid Flow in an Inclined Channel with Inclined Magnetic Field for Peristaltic Transport
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Streamlined peristaltic transport patterns, bifurcations of equilibrium points, and effects of an inclined magnetic field and channel are shown in this study. The incompressible fluid has been the subject of the model's investigation. The Reynolds values for evanescence and an infinite wavelength are used to constrain the flow while it is being studied in a slanted channel with a slanted magnetic field. The topologies over their domestic and cosmopolitan bifurcations are investigated for the outcomes, and notion of the dynamical system are employed. The Mathematica software is used to solve the nonlinear autonomous system. The flow is found to have three different flow distributions namely augmented, trapping and backward flow. Outc

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Publication Date
Mon Jan 01 2024
Journal Name
Aip Conference Proceedings
The dynamical behavior of AIDS and HCV infection model with two modes of transmission
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The aim of this paper is to describe an epidemic model when two SI-Type of diseases are transmitted vertically as well as horizontally through one population. The population contains two subclasses: susceptible and infectious, while the infectious are divided into three subgroups: Those infected by AIDS disease, HCV disease, and by both diseases. A nonlinear mathematical model for AIDS and HCV diseases is Suggested and analyzed. Both local and global stability for each feasible equilibrium point are determined theoretically by using the stability theory of differential equations, Routh-Hurwitz and Gershgorin theorem. Moreover, the numerical simulation was carried out on the model parameters in order to determine their impact on the disease

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Publication Date
Sat Jun 01 2024
Journal Name
Partial Differential Equations In Applied Mathematics
Improving the hepatitis viral transmission model’s dynamics by vaccination and contrasting it with the fractional-order model
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We investigate mathematical models of the Hepatitis B and C viruses in the study, considering vaccination effects into account. By utilising fractional and ordinary differential equations, we prove the existence of equilibrium and the well-posedness of the solution. We prove worldwide stability with respect to the fundamental reproduction number. Our numerical techniques highlight the biological relevance and highlight the effect of fractional derivatives on temporal behaviour. We illustrate the relationships among susceptible, immunised, and infected populations in our epidemiological model. Using comprehensive numerical simulations, we analyse the effects of fractional derivatives and highlight solution behaviours. Subsequent investigatio

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Publication Date
Thu Jun 27 2024
Journal Name
Malaysian Journal Of Mathematical Sciences
Dynamics of a Social Model for Marriage and Divorce Relationship with Fear Effect
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The objective of this article is to delve into the intricate dynamics of marriage relationships, exploring the impact of emotions such as fear, love, financial considerations and likability. In our investigation, we adopt a perspective that acknowledges the nonlinear nature of interactions among individuals. Diverging from certain prior studies, we propose that the fear element within the context of marriage is not a singular, isolated factor but rather a manifestation resulting from the amalgamation of numerous social issues. This, in turn, contributes to the emergence of strained and unsuccessful relationships. Unlike conventional approaches, we extensively examine the conditions essential for the existence of all socially signifi

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Publication Date
Sat Jan 01 2022
Journal Name
Communications In Mathematical Biology And Neuroscience
A careful study of the effect of the infectious diseases and refuge on the dynamical behavior of prey-scavenger modeling
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In this paper, the dynamics of scavenger species predation of both susceptible and infected prey at different rates with prey refuge is mathematically proposed and studied. It is supposed that the disease was spread by direct contact between susceptible prey with infected prey described by Holling type-II infection function. The existence, uniqueness, and boundedness of the solution are investigated. The stability constraints of all equilibrium points are determined. In addition to establishing some sufficient conditions for global stability of them by using suitable Lyapunov functions. Finally, these theoretical results are shown and verified with numerical simulations.

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Publication Date
Sun Jan 01 2023
Journal Name
Communications In Mathematical Biology And Neuroscience
Stability and Hopf bifurcation of an epidemiological model with effect of delay the awareness programs and vaccination: analysis and simulation
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