FRACTIONAL-ORDER

作品数:273被引量:483H指数:10
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相关领域:理学更多>>
相关作者:谭超李特吴莹康艳梅更多>>
相关机构:西安交通大学三峡大学更多>>
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相关基金:国家自然科学基金国家教育部博士点基金中国博士后科学基金安徽省自然科学基金更多>>
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  • 期刊=International Journal of Biomathematicsx
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Compound learning adaptive neural network optimal backstepping control of uncertain fractional-order predator-prey systems
《International Journal of Biomathematics》2024年第8期91-122,共32页Heng Liu Mei Zhong Jinde Cao Chengdai Huang 
supported by the National Natural Science Foundation of China(12261009).
Reinforcement learning as an effective strategy is widely utilized in optimal control.However,when updating critic-actor weight vectors based on the square of Bellman residual,it often leads to substantial computation...
关键词:Fractional-order predator-prey system adaptive backstepping control compound learning optimal control reinforcement learning 
SIRS epidemic modeling using fractional-ordered differential equations:Role of fear effect被引量:1
《International Journal of Biomathematics》2024年第5期79-100,共22页Shiv Mangal O.P.Misra Joydip Dhar 
In this paper,an SIRS epidemic model using Grunwald-Letnikov fractional-order derivative is formulated with the help of a nonlinear system of fractional differential equations to analyze the effects of fear in the pop...
关键词:SIRS epidemic model fear effect Mittag-Leffler function Hopf bifurcation parameter estimation 
Dynamical analysis and chaos control of a fractional-order Leslie-type predator-prey model with Caputo derivative
《International Journal of Biomathematics》2024年第4期105-131,共27页Seval Isik Figen Kangalgil 
In this paper,the dynamical behaviors of a discrete-time fractional-order population model are considered.The stability analysis and the topological classification of the model at the fixed point have been investigate...
关键词:FRACTIONAL-ORDER predator-prey model DISCRETIZATION BIFURCATION CHAOS 
Dynamics of Caputo fractional-order SIRV model:The effects of imperfect vaccination on disease transmission
《International Journal of Biomathematics》2024年第4期267-285,共19页Auwal Abdullahi Mohd Hafiz Mohd 
support from the Fundamental Research Grant Scheme with Project Code:FRGS/1/2022/STG06/USM/02/1 by the Ministry of Higher Education,Malaysia(MOHE).
Though vaccination protects individuals against many infectious diseases,such protection does not always last forever since a few vaccinated individuals could lose their lifelong immunity and eventually become infecte...
关键词:Vaccination model fractional-order model Caputo fractional-order derivative Mittag-Leffer function fixed-point theory 
Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect
《International Journal of Biomathematics》2024年第3期1-33,共33页Caihong Song Ning Li 
supported by Liaoning Provincial Department of Education Scientific Research Fund Project(lnjc202018).
In this paper,a new delayed fractional-order model including susceptible migratory birds,infected migratory birds and predators is proposed to discuss the spread of diseases among migratory birds.Fear of predators is ...
关键词:DELAYED FRACTIONAL-ORDER migratory birds FEAR Hopf bifurcation periodic pulse feedback 
An analytical approach for the fractional-order Hepatitis B model using new operator
《International Journal of Biomathematics》2024年第1期177-198,共22页Surath Ghosh 
In this work,the main goal is to implement Homotopy perturbation transform method(HPTM)involving Katugampola fractional operator.As an example,a fractional order Hepatitis model is considered to analyze the solutions....
关键词:Caputo derivative Katugampola fractional derivative homotopy perturbation transform method Hepatitis B model 
A class of anomalous diffusion epidemic models based on CTRW and distributed delay被引量:1
《International Journal of Biomathematics》2023年第7期249-281,共33页Zhenzhen Lu Guojian Ren Yangquan Chen Xiangyun Meng Yongguang Yu 
This work is supported in part by the National Natural Science Foundation of China(Grant Nos.62173027,62003026 and 61973329);the Natural Science Foundation of Beijing Municipality(Grant No.Z180005);Alianza UCMX seed funding(2020-2022)on Binational Collaborative Projects addressing COVID-19.
In recent years,the epidemic model with anomalous diffusion has gained popularity in the literature.However,when introducing anomalous diffusion into epidemic models,they frequently lack physical explanation,in contra...
关键词:Continuous-time random walk time-fractional space-fractional diffusion time-fractional reaction-diffusion fractional-order diffusion distributed time delay 
Novel method to detect Hopf bifurcation in a delayed fractional-order network model with bidirectional ring structure
《International Journal of Biomathematics》2023年第6期209-232,共24页Shuai Li Chengdai Huang Xinyu Song 
This work was supported by the National Natural Science Foundation of China(grant numbers 12071407);the Nanhu Scholars Program for Young Scholars of the Xinyang Normal University.
In this paper,we formulate and study a fractional-order network model with four neurons,bidirectional ring structure and self-delay feedback.For the scenario of nonidentical neurons,we develop a new algebraic techniqu...
关键词:Neural networks DELAYS crossing curves fractional order Hopf bifurcation 
Stability analysis of a fractional-order cancer model with chaotic dynamics被引量:1
《International Journal of Biomathematics》2021年第6期239-261,共23页Parvaiz Ahmad Naik Jian Zu Mehraj-ud-din Naikt 
supported by grants from the China Postdoctoral Science Foundation(Grant Nos.2019M663653 and 2014M560755);the National Natural Science Foundation of China(Grant Nos.11971375,11571272,11201368 and 11631012);the National Science and Technology major project of China(Grant No.2018ZX10721202);grant from the Natural Science Foundation of Shaanxi Province(Grant No.2019JM-273).
In this paper,we develop a three-dimensional fractional-order cancer model.The proposed model involves the interaction among tumor cells,healthy tissue cells and activated effector cells.The detailed analysis of the e...
关键词:Cancer model Caputo fractional derivative CHAOS stability analysis. 
Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment被引量:1
《International Journal of Biomathematics》2021年第2期139-167,共29页Mohsen Jafari Hossein Kheiri Azizeh Jabbari 
In this paper,we consider a tuberculosis model with incomplete treatment and extend the model to a Caputo fractional-order and two-patch version with exogenous re-infection among the treated individuals,in which only ...
关键词:Patch models fractional-order derivatives global stability backward bifurcation. 
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