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G. Ranjith Kumar, K. Ramesh, Aziz Khan, K. Lakshminarayan & Thabet Abdeljawad. (2024) Bazykin’s Predator–Prey Model Includes a Dynamical Analysis of a Caputo Fractional Order Delay Fear and the Effect of the Population-Based Mortality Rate on the Growth of Predators. Qualitative Theory of Dynamical Systems 23:3.
Crossref
Crossref
Haonan ZhongKaifa Wang. (2024) Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay. SIAM Journal on Applied Dynamical Systems 23:1, pages 205-235.
Crossref
Crossref
Anusmita Das, Kaushik Dehingia, Evren Hinçal, Fatma Özköse & Kamyar Hosseini. (2024) A study on the dynamics of a breast cancer model with discrete-time delay. Physica Scripta 99:3, pages 035235.
Crossref
Crossref
Bhagya Jyoti Nath, Khadijeh Sadri, Hemanta Kumar Sarmah & Kamyar Hosseini. (2024) An optimal combination of antiretroviral treatment and immunotherapy for controlling HIV infection. Mathematics and Computers in Simulation 217, pages 226-243.
Crossref
Crossref
Rabia Aouafi, Abdelhamid Zaidi, Said Kouachi & Rana D. Parshad. (2023) A remark on “Dynamical behavior of a fractional three-species food chain model” [Nonlinear Dynamics, 95, February 2019]. Nonlinear Dynamics 111:14, pages 13641-13651.
Crossref
Crossref
Florent Feudjio Kemwoue, Vandi Deli, Joseph Marie Mendimi, Carlos Lawrence Gninzanlong, Jules Fossi Tagne & Jacques Atangana. (2022) Dynamics of cancerous tumors under the effect of delayed information: mathematical and electronic study. International Journal of Dynamics and Control 11:3, pages 1020-1039.
Crossref
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Ruiqing Shi, Yang Li & Cuihong Wang. (2023) Analysis of a Fractional-Order Model for African Swine Fever with Effect of Limited Medical Resources. Fractal and Fractional 7:6, pages 430.
Crossref
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Tongqian Zhang, Xinna Xu & Xinzeng Wang. (2023) Dynamic analysis of a cytokine-enhanced viral infection model with time delays and CTL immune response. Chaos, Solitons & Fractals 170, pages 113357.
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O. Ragb, Mohamed Salah, M. S. Matbuly, H. Ersoy & O. Civalek. (2022) Modeling and Solution of Reaction–Diffusion Equations by Using the Quadrature and Singular Convolution Methods. Arabian Journal for Science and Engineering 48:3, pages 4045-4065.
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Fathalla A. Rihan, K. Udhayakumar, Nicola Sottocornola, M.-Naim Anwar & Abdul Q. M. Khaliq. (2023) Stability and Bifurcation Analysis of the Caputo Fractional-Order Asymptomatic COVID-19 Model with Multiple Time-Delays. International Journal of Bifurcation and Chaos 33:02.
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Z. Yaagoub & K. Allali. (2023) Fractional HCV infection model with adaptive immunity and treatment. Mathematical Modeling and Computing 10:4, pages 995-1013.
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F.A. Rihan, H.J. Alsakaji, S. Kundu & O. Mohamed. (2022) Dynamics of a time-delay differential model for tumour-immune interactions with random noise. Alexandria Engineering Journal 61:12, pages 11913-11923.
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Prahlad Majumdar, Bapin Mondal, Surajit Debnath & Uttam Ghosh. (2022) Controlling of periodicity and chaos in a three dimensional prey predator model introducing the memory effect. Chaos, Solitons & Fractals 164, pages 112585.
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Fatima Ezzahra Fikri & Karam Allali. (2022) HIV Dynamics with a Trilinear Antibody Growth Function and Saturated Infection Rate. Mathematical and Computational Applications 27:5, pages 85.
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Chandan Maji. (2021) Impact of media coverage on a fractional-order SIR epidemic model. International Journal of Modeling, Simulation, and Scientific Computing 13:05.
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Changjin Xu, Muhammad Farman, Ali Akgül, Kottakkaran Sooppy Nisar & Aqeel Ahmad. (2022) Modeling and analysis fractal order cancer model with effects of chemotherapy. Chaos, Solitons & Fractals 161, pages 112325.
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Florent Feudjio Kemwoue, Vandi Deli, Hélène Carole Edima, Joseph Marie Mendimi, Carlos Lawrence Gninzanlong, Mireille Mbou Dedzo, Jules Fossi Tagne & Jacques Atangana. (2022) Effects of delay in a biological environment subject to tumor dynamics. Chaos, Solitons & Fractals 158, pages 112022.
Crossref
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Na Zhang, Yonggui Kao & Binfeng Xie. (2022) Impact of fear effect and prey refuge on a fractional order prey–predator system with Beddington–DeAngelis functional response. Chaos: An Interdisciplinary Journal of Nonlinear Science 32:4.
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Chandan Maji. (2021) Dynamical analysis of a fractional-order predator–prey model incorporating a constant prey refuge and nonlinear incident rate. Modeling Earth Systems and Environment 8:1, pages 47-57.
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Kasbawati, Yuliana Jao & Nur Erawaty. (2022) Dynamic study of the pathogen-immune system interaction with natural delaying effects and protein therapy. AIMS Mathematics 7:5, pages 7471-7488.
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Chandan Maji. (2021) Impact of fear effect in a fractional-order predator–prey system incorporating constant prey refuge. Nonlinear Dynamics 107:1, pages 1329-1342.
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Crossref
F.A. Rihan, A.A. Arafa, R. Rakkiyappan, C. Rajivganthi & Y. Xu. (2021)
Fractional-order delay differential equations for the dynamics of hepatitis C virus infection with IFN-
treatment
. Alexandria Engineering Journal 60:5, pages 4761-4774.
Crossref
Crossref
Jun-Xiu Chen, Xu-Guang Li & Zhi-Zhong Mao. (2021) Stability analysis of delayed food chain systems with heterogeneous free parameters. Journal of the Franklin Institute 358:9, pages 4883-4894.
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Fatma Bozkurt Yousef, Ali Yousef & Chandan Maji. (2021) Effects of fear in a fractional-order predator-prey system with predator density-dependent prey mortality. Chaos, Solitons & Fractals 145, pages 110711.
Crossref
Crossref
Fathalla A. RihanFathalla A. Rihan. 2021. Delay Differential Equations and Applications to Biology. Delay Differential Equations and Applications to Biology
167
189
.
Fathalla A. RihanFathalla A. Rihan. 2021. Delay Differential Equations and Applications to Biology. Delay Differential Equations and Applications to Biology
233
252
.
Fathalla A. RihanFathalla A. Rihan. 2021. Delay Differential Equations and Applications to Biology. Delay Differential Equations and Applications to Biology
211
232
.
Javad Alidousti. (2020) Stability and bifurcation analysis for a fractional prey–predator scavenger model. Applied Mathematical Modelling 81, pages 342-355.
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Chandan Maji, Debasis Mukherjee & Dipak Kesh. (2020) Study of a fractional‐order model of chronic wasting disease. Mathematical Methods in the Applied Sciences.
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Fathalla A. Rihan & Bassel F. Rihan. (2020) Delay Differential Model for Tumour-Immune System With Chemo-therapy and Optimal Control. ITM Web of Conferences 31, pages 04003.
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Yan Cheng, Fumin Zhang & Min Zhao. (2019) A stochastic model of HIV infection incorporating combined therapy of HAART driven by Lévy jumps. Advances in Difference Equations 2019:1.
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R. Rakkiyappan, V. Preethi Latha & Fathalla A. Rihan. (2019) A Fractional-Order Model for Zika Virus Infection with Multiple Delays. Complexity 2019, pages 1-20.
Crossref
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Javad Alidousti & Mojtaba Mostafavi Ghahfarokhi. (2019) Stability and bifurcation for time delay fractional predator prey system by incorporating the dispersal of prey. Applied Mathematical Modelling 72, pages 385-402.
Crossref
Crossref
Dibyendu Sekhar Mandal, Amar Sha & Joydev Chattopadhyay. (2019) Dynamical study of fractional order differential equations of predator‐pest models. Mathematical Methods in the Applied Sciences 42:12, pages 4225-4243.
Crossref
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Ana R. M. Carvalho & Carla M. A. Pinto. (2017) New developments on AIDS‐related cancers: The role of the delay and treatment options. Mathematical Methods in the Applied Sciences 41:18, pages 8915-8928.
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V. Preethi Latha, Fathalla A. Rihan, R. Rakkiyappan & G. Velmurugan. (2017) A fractional-order delay differential model for Ebola infection and CD8+ T-cells response: Stability analysis and Hopf bifurcation. International Journal of Biomathematics 10:08, pages 1750111.
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F. A. Rihan, S. Lakshmanan, A. H. Hashish, R. Rakkiyappan & E. Ahmed. (2015) Fractional-order delayed predator?prey systems with Holling type-II functional response. Nonlinear Dynamics 80:1-2, pages 777-789.
Crossref
Crossref
F.A. Rihan, D.H. Abdel Rahman, S. Lakshmanan & A.S. Alkhajeh. (2014) A time delay model of tumour–immune system interactions: Global dynamics, parameter estimation, sensitivity analysis. Applied Mathematics and Computation 232, pages 606-623.
Crossref
Crossref
F. A. Rihan, D. H. Abdelrahman, F. Al-Maskari, F. Ibrahim & M. A. Abdeen. (2014) Delay Differential Model for Tumour-Immune Response with Chemoimmunotherapy and Optimal Control. Computational and Mathematical Methods in Medicine 2014, pages 1-15.
Crossref
Crossref
P. Balasubramaniam, M. Prakash, Fathalla A. Rihan & S. Lakshmanan. (2014)
Hopf Bifurcation and Stability of Periodic Solutions for Delay Differential Model of HIV Infection of CD4
+
T-cells
. Abstract and Applied Analysis 2014, pages 1-18.
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