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Dive into the research topics where Raid Kamel Naji is active.

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Featured researches published by Raid Kamel Naji.


Chaos Solitons & Fractals | 2002

Chaos in three species ratio dependent food chain

Sunita Gakkhar; Raid Kamel Naji

Abstract Three species ratio dependent food chain model is considered. To study the global dynamic behavior of the resulting nonlinear coupled system, it is solved numerically for large values of time. The biological parameters are varied to investigate the irregularity in the patterns and existence of chaos. The chaotic attractor is obtained for suitable choice of parametric values.


Chaos Solitons & Fractals | 2003

Seasonally perturbed prey–predator system with predator-dependent functional response

Sunita Gakkhar; Raid Kamel Naji

Abstract The effect of seasonality on the prey–predator model with predator-dependent trophic function is investigated analytically as well as numerically. The effect of periodic variations is considered on two different parameters of the system: the growth rate of prey and the death rate of the predators. The two parameters may not be in the same phase. The behavior of the system is simulated and bifurcation diagrams are obtained for different parameters. The results show that seasonality in two different parameters with or without phase difference can give rise to multiple attractors, including chaos, with variations in critical parameters.


Journal of Applied Mathematics | 2012

The Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate

Raid Kamel Naji; Arkan N. Mustafa

This paper treats the dynamical behavior of eco-epidemiological model with nonlinear incidence rate. A Holling type II prey-predator model with SI-type of disease in prey has been proposed and analyzed. The existence, uniqueness, and boundedness of the solution of the system are studied. The local and global dynamical behaviors are investigated. The conditions, which guarantee the occurring of Hopf bifurcation of the system, are established. Finally, further investigations for the global dynamics of the proposed system are carried out with the help of numerical simulations.


Archive | 2016

Boundedness and Stability of Leslie–Gower Model with Sokol–Howell Functional Response

Safaa Jawad Ali; Norihan Md. Arifin; Raid Kamel Naji; Fudziah Ismail; Norfifah Bachok

In this chapter, a three-species model of Leslie–Gower predator–prey food chain model with Sokol–Howell functional response is proposed. The boundedness of the solution of the model is discussed. Local and global stability analyses of the system are carried out. The dynamics of the predator–prey food chain model with Sokol–Howell functional response is investigated theoretically as well as numerically.


Journal of Applied Mathematics | 2016

The Dynamics of Epidemic Model with Two Types of Infectious Diseases and Vertical Transmission

Raid Kamel Naji; Reem Mudar Hussien

An epidemic model that describes the dynamics of the spread of infectious diseases is proposed. Two different types of infectious diseases that spread through both horizontal and vertical transmission in the host population are considered. The basic reproduction number is determined. The local and the global stability of all possible equilibrium points are achieved. The local bifurcation analysis and Hopf bifurcation analysis for the four-dimensional epidemic model are studied. Numerical simulations are used to confirm our obtained analytical results.


Chaos Solitons & Fractals | 2009

Dynamics of a three species food chain model with Crowley–Martin type functional response

Ranjit Kumar Upadhyay; Raid Kamel Naji


Chaos Solitons & Fractals | 2007

Dynamical behavior of a three species food chain model with Beddington–DeAngelis functional response

Raid Kamel Naji; Alla Tariq Balasim


Nonlinear Analysis-real World Applications | 2010

Dynamical consequences of predator interference in a tri-trophic model food chain

Raid Kamel Naji; Ranjit Kumar Upadhyay; Vikas Rai


Chaos Solitons & Fractals | 2007

On the dynamical behavior of three species food web model

Raid Kamel Naji; Alla Tariq Balasim


Communications in Nonlinear Science and Numerical Simulation | 2013

The role of top predator interference on the dynamics of a food chain model

Ranjit Kumar Upadhyay; Raid Kamel Naji; Sharada Nandn Raw; B. Dubey

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Sunita Gakkhar

Indian Institute of Technology Roorkee

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Fudziah Ismail

Universiti Putra Malaysia

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Norfifah Bachok

Universiti Putra Malaysia

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Safaa Jawad Ali

Universiti Putra Malaysia

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B. Dubey

Birla Institute of Technology and Science

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