## International Journal of Biomathematics

 Short Title: Int. J. Biomath. Publisher: World Scientific, Singapore ISSN: 1793-5245; 1793-7159/e Online: https://www.worldscientific.com/loi/ijb Comments: Indexed cover-to-cover
 Documents Indexed: 1,059 Publications (since 2008) References Indexed: 1,044 Publications with 31,253 References.
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 948 Biology and other natural sciences (92-XX) 411 Ordinary differential equations (34-XX) 187 Partial differential equations (35-XX) 78 Dynamical systems and ergodic theory (37-XX) 75 Probability theory and stochastic processes (60-XX) 70 Fluid mechanics (76-XX) 62 Numerical analysis (65-XX) 51 Systems theory; control (93-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 33 Statistics (62-XX) 31 Difference and functional equations (39-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Operator theory (47-XX) 20 Real functions (26-XX) 17 Classical thermodynamics, heat transfer (80-XX) 15 Computer science (68-XX) 11 Operations research, mathematical programming (90-XX) 10 Integral equations (45-XX) 8 General topology (54-XX) 8 Mechanics of deformable solids (74-XX) 8 Information and communication theory, circuits (94-XX) 6 Mathematical logic and foundations (03-XX) 6 Integral transforms, operational calculus (44-XX) 5 Combinatorics (05-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

676 Publications have been cited 2,876 times in 2,254 Documents Cited by Year
The impact of media coverage on the dynamics of infectious disease. Zbl 1155.92343
Liu, Yiping; Cui, Jing-An
2008
Global attractivity of a stage-structure variable coefficients predator-prey system with time delay and impulsive perturbations on predators. Zbl 1155.92355
Jiao, Jianjun; Chen, Lansun
2008
Permanence and global stability in an impulsive Lotka-Volterra $$N$$-species competitive system with both discrete delays and continuous delays. Zbl 1155.92356
Meng, Xinzhu; Chen, Lansun
2008
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2020
An impulsive predator-prey system with Beddington-DeAngelis functional response and time delay. Zbl 1155.92045
Zhang, Hong; Georgescu, Paul; Chen, Lansun
2008
Modeling binge drinking. Zbl 1297.92079
Mulone, Giuseppe; Straughan, Brian
2012
Dynamics on a Holling II predator-prey model with state-dependent impulsive control. Zbl 1280.92075
Liu, Bing; Tian, Ye; Kang, Baolin
2012
Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method. Zbl 1409.34038
Huang, Chuangxia; Zhang, Hua
2019
Pulse vaccination in the periodic infection rate SIR epidemic model. Zbl 1156.92028
Jin, Zhen; Haque, Mainul; Liu, Quanxing
2008
Permanence of some discrete epidemic models. Zbl 1342.92281
Sekiguchi, Masaki
2009
Optimal control of a fractional-order model for the HIV/AIDS epidemic. Zbl 1400.92321
Kheiri, Hossein; Jafari, Mohsen
2018
Global stability of a stage-structured predator-prey model with modified Leslie-Gower and Holling-type II schemes. Zbl 1297.92066
Li, Zhong; Han, Maoan; Chen, Fengde
2012
Homoclinic bifurcation in semi-continuous dynamic systems. Zbl 1305.34065
Dai, Chuanjun; Zhao, Min; Chen, Lansun
2012
Lyapunov function and global properties of virus dynamics with CTL immune response. Zbl 1156.92322
Wang, Xia; Tao, Youde
2008
Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response. Zbl 1367.34098
Ełaiw, A. M.; Raezah, A. A.; Hattaf, Khalid
2017
Global dynamics of a heroin epidemic model with age structure and nonlinear incidence. Zbl 1338.92145
Yang, Junyuan; Li, Xiaoxia; Zhang, Fengqin
2016
Hemorrhagic fever with renal syndrome in China: mechanisms on two distinct annual peaks and control measures. Zbl 1383.92082
Li, Li; Wang, Cui-Hua; Wang, Shi-Fu; Li, Ming-Tao; Yakob, Laith; Cazelles, Bernard; Jin, Zhen; Zhang, Wen-Yi
2018
Global properties of nonlinear humoral immunity viral infection models. Zbl 1327.34098
Elaiw, A. M.; Al Shamarani, N. H.
2015
Existence of spatiotemporal patterns in the reaction-diffusion predator-prey model incorporating prey refuge. Zbl 1345.35119
Guin, Lakshmi Narayan; Mondal, Benukar; Chakravarty, Santabrata
2016
Global properties of a cell mediated immunity in HIV infection model with two classes of target cells and distributed delays. Zbl 1311.34165
Elaiw, A. M.; Abukwaik, R. M.; Alzahrani, E. O.
2014
Global analysis of a harvested predator-prey model incorporating a constant prey refuge. Zbl 1342.92160
Chen, Liujuan; Chen, Fengde
2010
A multi-group sveir epidemic model with distributed delay and vaccination. Zbl 1280.34059
Wang, Jinliang; Takeuchi, Yasuhiro; Liu, Shengqiang
2012
On dynamics of $$\ell$$-Volterra quadratic stochastic operators. Zbl 1342.92199
Rozikov, U. A.; Zada, A.
2010
Extinction in a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls. Zbl 1312.39005
Chen, Lijuan; Chen, Fengde
2015
On the solutions and periodic nature of some systems of difference equations. Zbl 1308.39012
Elsayed, E. M.
2014
On a new modified fractional analysis of Nagumo equation. Zbl 1421.35118
Saad, Khaled M.; Deniz, Sinan; Baleanu, Dumitru
2019
Dynamics of SIS epidemic model with the standard incidence rate and saturated treatment function. Zbl 1280.92065
Wei, Jingjing; Cui, Jing-An
2012
A fractional-order delay differential model for Ebola infection and $$\mathrm{CD}8^+$$ T-cells response: stability analysis and Hopf bifurcation. Zbl 1376.92031
Latha, V. Preethi; Rihan, Fathalla A.; Rakkiyappan, R.; Velmurugan, G.
2017
Analysis of within-host CHIKV dynamics models with general incidence rate. Zbl 1397.34078
Elaiw, Ahmed M.; Alade, Taofeek O.; Alsulami, Saud M.
2018
The effects of timing of pulse spraying and releasing periods on dynamics of generalized predator-prey model. Zbl 1297.92065
Li, Changtong; Tang, Sanyi
2012
Geometric approach to the stability analysis of the periodic solution in a semi-continuous dynamic system. Zbl 1395.34051
Tian, Yuan; Sun, Kaibiao; Chen, Lansun
2014
Spatial pattern in a diffusive predator-prey model with sigmoid ratio-dependent functional response. Zbl 1304.35706
Guin, Lakshmi Narayan; Mandal, Prashanta Kumar
2014
Complex dynamic behaviors of a discrete predator-prey model with stage structure and harvesting. Zbl 1366.92101
Chen, Boshan; Chen, Jiejie
2017
Permanence and complexity of the eco-epidemiological model with impulsive perturbation. Zbl 1166.92039
Sun, Shulin; Chen, Lansun
2008
Global stability of a stage-structured predator-prey system. Zbl 1173.34043
Song, Xinyu; Guo, Hongjian
2008
An efficient red blood cell model in the frame of IB-LBM and its application. Zbl 1297.92027
Xu, Yuan-Qing; Tian, Fang-Bao; Deng, Yu-Lin
2013
A fractional-order model of HIV infection: numerical solution and comparisons with data of patients. Zbl 1306.34074
Arafa, A. A. M.; Rida, S. Z.; Khalil, M.
2014
Effects of delay and seasonality on toxin producing phytoplankton-zooplankton system. Zbl 1291.37117
Gakkhar, Sunita; Singh, Anuraj; Singh, Braham Pal
2012
Modeling the effect of time delay in budget allocation to control an epidemic through awareness. Zbl 1387.34022
Misra, A. K.; Rai, Rajanish Kumar; Takeuchi, Yasuhiro
2018
A numerical study by using the Chebyshev collocation method for a problem of biological invasion: fractional Fisher equation. Zbl 1405.92290
2018
Almost periodic oscillations in a generalized Mackey-Glass model of respiratory dynamics with several delays. Zbl 1306.34134
Zhang, Tianwei
2014
Traveling waves for a SIRS model with nonlocal diffusion. Zbl 1291.92106
Yu, Xiaojing; Wu, Chufen; Weng, Peixuan
2012
Stochastic dynamics of the delayed chemostat with Lévy noises. Zbl 1422.34246
Zhao, Dianli; Yuan, Sanling; Liu, Haidong
2019
Analysis of a predator-prey model with herd behavior and disease in prey incorporating prey refuge. Zbl 1406.92518
Saha, Sangeeta; Samanta, G. P.
2019
Bifurcation behaviors analysis of a plankton model with multiple delays. Zbl 1347.34120
Sharma, Anuj Kumar; Sharma, Amit; Agnihotri, Kulbhushan
2016
Analysis on an epidemic model with a ratio-dependent nonlinear incidence rate. Zbl 1297.92078
Li, Bo; Yuan, Sanling; Zhang, Weiguo
2011
Heteroclinic bifurcations of a prey-predator fishery model with impulsive harvesting. Zbl 1417.37288
Wei, Chunjin; Chen, Lansun
2013
$$H_{v}$$-semigroup structure on $$F_{2}$$-offspring of a gene pool. Zbl 1280.92044
Ghadiri, M.; Davvaz, B.; Nekouian, R.
2012
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment. Zbl 1443.92101
Kumar, Sachin; Atangana, Abdon
2020
An exponential collocation method for the solutions of the HIV infection model of $$\mathrm{CD}4^+\mathrm{T}$$ cells. Zbl 1338.92066
Yüzbaşı, Şuayip
2016
A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators. Zbl 1378.35322
Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P.
2018
Two patches impulsive diffusion periodic single-species logistic model. Zbl 1342.92188
Liu, Zijian; Teng, Zhidong; Zhang, Long
2010
Chaotic dynamics of a delayed tumor-immune interaction model. Zbl 1442.34130
Khajanchi, Subhas
2020
Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size. Zbl 1406.92595
Liu, Shitao; Zhang, Liang; Zhang, Xiao-Bing; Li, Aibing
2019
A food chain system with Holling IV functional responses and impulsive effect. Zbl 1155.92043
Xiong, Zuoliang; Xue, Ying; Li, Shunyi
2008
Mathematical modeling of blood flow in a porous vessel having double stenoses in the presence of an external magnetic field. Zbl 1297.92024
Misra, J. C.; Sinha, A.; Shit, G. C.
2011
Global robust stability of complex-valued recurrent neural networks with time-delays and uncertainties. Zbl 1330.92016
Zhang, Wei; Li, Chuandong; Huang, Tingwen
2014
Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057
Huang, Mingzhan; Song, Xinyu
2014
MHD Eyring-Prandtl fluid flow with convective boundary conditions in small intestines. Zbl 1298.76242
Akbar, Noreen Sher
2013
Dynamics of an HIV-1 infection model with cell-mediated immune response and stochastic perturbation. Zbl 1291.92081
Ji, Chunyan; Jiang, Daqing
2012
Dynamical analysis of a class of hepatitis C virus infection models with application of optimal control. Zbl 1408.37146
Mojaver, Aida; Kheiri, Hossein
2016
Parameters estimation of HIV infection model of $$\mathrm{CD}4^+$$ T-cells by applying orthonormal Bernstein collocation method. Zbl 1381.92094
Mirzaee, Farshid; Samadyar, Nasrin
2018
Stability analysis and optimal control of an epidemic model with vaccination. Zbl 1314.34107
Sharma, Swarnali; Samanta, G. P.
2015
Mathematical modeling of the HIV/AIDS epidemic in Cuba. Zbl 1328.92079
Mastroberardino, Antonio; Cheng, Yuanji; Abdelrazec, Ahmed; Liu, Hao
2015
Dynamics of SVEIS epidemic model with distinct incidence. Zbl 1356.92087
2015
Mathematical analysis of a two-sex human papillomavirus (HPV) model. Zbl 1400.92325
Omame, A.; Umana, R. A.; Okuonghae, D.; Inyama, S. C.
2018
Threshold dynamics of reaction-diffusion partial differential equations model of Ebola virus disease. Zbl 1405.35091
Yamazaki, Kazuo
2018
Efficient numerical treatments for a fractional optimal control nonlinear tuberculosis model. Zbl 1407.65226
Sweilam, N. H.; Al-Mekhlafi, S. M.; Baleanu, D.
2018
Two different vaccination strategies in an SIR epidemic model with saturated infectious force. Zbl 1155.92030
Pei, Yongzhen; Liu, Shaoying; Chen, Lansun; Wang, Chunhua
2008
Permanence for a discrete Nicholson’s blowflies model with feedback control and delay. Zbl 1163.39011
Wang, Lin-Lin; Fan, Yong-Hong
2008
Dynamics of a delayed epidemic model with varying immunity period and nonlinear transmission. Zbl 1328.92078
2015
Mixed vaccination strategy in SIRS epidemic model with seasonal variability on infection. Zbl 1304.34088
Gao, Shujing; Ouyang, Hongshui; Nieto, Juan J.
2011
A generalized entropy-based residual lifetime distributions. Zbl 1297.62015
Kumar, Vikas; Taneja, H. C.
2011
Almost periodic solution of a modified Leslie-Gower predator-prey model with Holling-type II schemes and mutual interference. Zbl 1305.34081
Yu, Shengbin; Chen, Fengde
2014
Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system. Zbl 1329.92115
Wang, Qinglong; Liu, Zhijun; Li, Zuxiong; Cheke, Robert A.
2014
Effect of kairomone on predator-prey dynamics – a delay model. Zbl 1300.92087
Samanta, Sudip; Chattopadhyay, Joydev
2013
A collocation method for numerical solutions of fractional-order logistic population model. Zbl 1342.92216
Yüzbaşı, Şuayip
2016
Exploring the dynamics of a Holling-Tanner model with cannibalism in both predator and prey population. Zbl 1381.92072
Al Basheer, Aladeen; Parshad, Rana D.; Quansah, Emmanuel; Yu, Shengbin; Kumar Upadhyay, Ranjit
2018
Analysis of stability and persistence in a ratio-dependent predator-prey resource model. Zbl 1342.92168
Freedman, H. I.; Agarwal, Manju; Devi, Sapna
2009
Global exponential stability of cellular neural networks with multi-proportional delays. Zbl 1332.34117
Zhou, Liqun; Zhang, Yanyan
2015
Analysis of a delayed diffusive model with Beddington-DeAngelis functional response. Zbl 1418.35030
Meng, Xin-You; Wang, Jiao-Guo
2019
On the permanence for $$n$$-species non-autonomous Lotka-Volterra competitive system with infinite delays and feedback controls. Zbl 1155.92358
Wang, Kai; Teng, Zhidong; Jiang, Haijun
2008
Dynamical behaviors of a general humoral immunity viral infection model with distributed invasion and production. Zbl 1365.34139
Ełaiw, A. M.; Alshamrani, N. H.; Hattaf, K.
2017
Dynamics of a diffusive predator-prey model with additive Allee effect. Zbl 1297.92060
Cai, Yongli; Wang, Weiming; Wang, Jinfeng
2012
Heat and mass transfer effects on carreau fluid model for blood flow through a tapered artery with a stenosis. Zbl 1329.92031
Akbar, Noreen Sher
2014
Two-dimensional finite element model to study calcium distribution in astrocytes in presence of excess buffer. Zbl 1297.76100
Jha, Brajesh Kumar; Adlakha, Neeru; Mehta, M. N.
2014
Particulate suspension flow induced by sinusoidal peristaltic waves through eccentric cylinders: thread annular. Zbl 1280.76062
Mekheimer, Kh. S.; Abd Elmaboud, Y.; Abdellateef, A. I.
2013
A model for control of HIV/AIDS with parental care. Zbl 1280.92033
Abiodun, Gbenga Jacob; Marcus, Nizar; Okosun, Kazeem Oare; Witbooi, Peter Joseph
2013
Discrete-time epidemic dynamics with awareness in random networks. Zbl 1280.92039
Shang, Yilun
2013
Modeling and parameter identification for multistage simulation of microbial bioconversion in batch culture. Zbl 1280.92017
Wang, Lei; Xiu, Zhilong; Gong, Zhaohua; Feng, Enmin
2012
Modeling the spread of HIV in a stage structured population: effect of awareness. Zbl 1291.92082
Kaur, Navjot; Ghosh, Mini; Bhatia, S. S.
2012
Bifurcation and spatiotemporal patterns of a density-dependent predator-prey model with Crowley-Martin functional response. Zbl 1376.92051
Sivakumar, M.; Balachandran, K.; Karuppiah, K.
2017
Effects on prey-predator with different functional responses. Zbl 1376.92049
Roy, Banani; Roy, Sankar Kumar; Biswas, M. H. A.
2017
Analysis of a harvested tritrophic food chain model in the presence of additional food for top predator. Zbl 1390.92118
Panja, Prabir; Poria, Swarup; Mondal, Shyamal Kumar
2018
A fractional dynamical model for honeybee colony population. Zbl 1396.92062
Akman Yıldız, Tuğba
2018
Global dynamics of an age-structured viral infection model with general incidence function and absorption. Zbl 1403.35303
Hattaf, Khalid; Yang, Yu
2018
Heat transfer analysis of viscoelastic fluid flow due to metachronal wave of cilia. Zbl 1305.76135
Akbar, Noreen Sher; Butt, Adil Wahid
2014
Mathematical modeling of micropolar fluid flow through an overlapping arterial stenosis. Zbl 1325.92026
2015
Effect of pollution on dynamics of SIR model with treatment. Zbl 1331.34083
Chauhan, Sudipa; Bhatia, Sumit Kaur; Gupta, Surbhi
2015
Global attractivity of asymptotically almost periodic Nicholson’s blowflies models with a nonlinear density-dependent mortality term. Zbl 1398.34124
Tang, Yi; Xie, Shenglan
2018
Stochastic numerical investigations for nonlinear three-species food chain system. Zbl 07539606
Sabir, Zulqurnain
2022
An efficient numerical simulation and mathematical modeling for the prevention of tuberculosis. Zbl 1487.92003
Zafar, Zain Ul Abadin; Younas, Samina; Zaib, Sumera; Tunç, Cemil
2022
An efficient method for oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. Zbl 1489.92045
Aydinlik, Soner
2022
Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting. Zbl 1461.92086
Guin, Lakshmi Narayan; Pal, Sudipta; Chakravarty, Santabrata; Djilali, Salih
2021
Existence and exponential stability of weighted pseudo-almost periodic solutions for genetic regulatory networks with time-varying delays. Zbl 1461.92034
Ayachi, Moez
2021
Natural selection between two games with environmental feedback. Zbl 1479.91041
Yuan, Hairui; Meng, Xinzhu; Li, Zhenqing
2021
Dynamical behavior of a delayed prey-predator-scavenger system with fear effect and linear harvesting. Zbl 1476.92038
Meng, Xin-You; Li, Jie
2021
Interspecific density-dependent model of predator-prey relationship in the chemostat. Zbl 1461.92093
Mtar, Tahani; Fekih-Salem, Radhouane; Sari, Tewfik
2021
A generalized stochastic competitive system with Ornstein-Uhlenbeck process. Zbl 1461.92100
Tian, Baodan; Yang, Liu; Chen, Xingzhi; Zhang, Yong
2021
Canard explosion, homoclinic and heteroclinic orbits in singularly perturbed generalist predator-prey systems. Zbl 1459.92072
Atabaigi, Ali
2021
On the solution of the human immunodeficiency virus (HIV) infection model using spectral collocation method. Zbl 1461.92020
Thirumalai, Sagithya; Seshadri, Rajeswari; Yüzbaşıi, Şuayip
2021
Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment. Zbl 1461.92110
Jafari, Mohsen; Kheiri, Hossein; Jabbari, Azizeh
2021
Modeling and stability analysis of HIV/HTLV-I co-infection. Zbl 1473.92025
Elaiw, A. M.; AlShamrani, N. H.
2021
Dynamics of a stochastic rabies epidemic model with Markovian switching. Zbl 1474.92118
Peng, Hao; Zhang, Xinhong; Jiang, Daqing
2021
Neuro-optimized numerical treatment of HIV infection model. Zbl 1475.92149
Bilal, Anas; Sun, Guangmin; Mazhar, Sarah; Junjie, Zhang
2021
Qualitative analysis of a diffusive predator-prey model with Allee and fear effects. Zbl 1475.92132
Liu, Jia
2021
A stochastic vaccinated epidemic model incorporating Lévy processes with a general awareness-induced incidence. Zbl 1475.92101
2021
Global dynamics in an age-structured HIV model with humoral immunity. Zbl 1475.92057
Xie, Zhongzhong; Liu, Xiuxiang
2021
A co-infection model for HPV and syphilis with optimal control and cost-effectiveness analysis. Zbl 1478.92218
Omame, A.; Okuonghae, D.; Nwafor, U. E.; Odionyenma, B. U.
2021
Dynamic analysis based on the relapse rate of drug epidemic model. Zbl 1478.92215
Niu, Lu; Wang, Xiaoyun
2021
Theoretical results of optimal harvesting in a hierarchical size-structured population system with delay. Zbl 1478.92156
He, Ze-Rong; Han, Mengjie
2021
Dynamics of an SIRS model with age structure and two delays. Zbl 1478.92227
Sun, Hongquan; Li, Hong; Li, Jin; Zhu, Zhangsheng
2021
Impulsive multidirectional associative memory neural networks: new results. Zbl 07439921
Aouiti, Chaouki; Rezeg, Mahjouba Ben
2021
Delayed fuzzy genetic regulatory networks: novel results. Zbl 1478.92066
Aouiti, Chaouki; Dridi, Farah
2021
Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model. Zbl 07439925
Liu, Lin; Yang, Shuo; Feng, Libo; Xu, Qian; Zheng, Liancun; Liu, Fawang
2021
Wong-Zakai approximations and long term behavior of stochastic FitzHugh-Nagumo system. Zbl 1480.92037
Qin, Ling; Ma, Dandan; Shu, Ji
2021
Traveling waves of a delayed HIV/AIDS epidemic model with treatment and spatial diffusion. Zbl 1479.35193
Gan, Qintao; Xu, Rui; Yang, Jing
2021
Global threshold dynamics of an age structured alcoholism model. Zbl 1480.92191
Bentout, Soufiane; Djilali, Salih; Chekroun, Abdenasser
2021
SIR model with time-varying contact rate. Zbl 1480.92189
Al-Salti, Nasser; Al-Musalhi, Fatma; Elmojtaba, Ibrahim; Gandhi, Vilmurugan
2021
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2020
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment. Zbl 1443.92101
Kumar, Sachin; Atangana, Abdon
2020
Chaotic dynamics of a delayed tumor-immune interaction model. Zbl 1442.34130
Khajanchi, Subhas
2020
Spatiotemporal patterns induced by cross-diffusion in predator-prey model with prey herd shape effect. Zbl 1462.35053
Djilali, Salih
2020
Incorporating two coupling noises into a nonlinear competitive system with saturation effect. Zbl 1443.92154
Hu, Jing; Liu, Zhijun
2020
A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination: stationary distribution and extinction. Zbl 1443.92190
Zhao, Xin; He, Xin; Feng, Tao; Qiu, Zhipeng
2020
Global dynamics of a fractional-order SIR epidemic model with memory. Zbl 1461.92116
2020
A compartmental model for antibiotic resistant bacterial infections over networks. Zbl 1432.92093
Knopoff, Damián A.; Trucco, Facundo A.
2020
Impact of adaptive immune response and cellular infection on delayed virus dynamics with multi-stages of infected cells. Zbl 1434.34070
Elaiw, A. M.; AlShamrani, N. H.
2020
Persistence and extinction of Markov switched stochastic Nicholson’s blowflies delayed differential equation. Zbl 1434.60229
Wang, Wentao; Chen, Wei
2020
The stationary distribution and stochastic persistence for a class of disease models: case study of malaria. Zbl 1465.92131
Wanduku, Divine
2020
Stability and bifurcation analysis of a fractional-order single-gene regulatory model with delays under a novel $$PD^\alpha$$ control law. Zbl 1442.37102
Lu, Qiu; Xiao, Min; Cheng, Zunshui; Song, Yurong; Huang, Chengdai; Cao, Jinde
2020
Sensitivity analysis of chronic hepatitis C virus infection with immune response and cell proliferation. Zbl 1443.92079
Nabi, Khondoker Nazmoon; Podder, Chandra N.
2020
Bogdanov-Takens bifurcation in a neutral delayed Hopfield neural network with bidirectional connection. Zbl 1465.37063
Achouri, Houssem; Aouiti, Chaouki; Ben Hamed, Bassem
2020
Leslie’s prey-predator model in discrete time. Zbl 1464.92233
Rozikov, U. A.; Shoyimardonov, S. K.
2020
Modeling a stochastic avian influenza model under regime switching and with human-to-human transmission. Zbl 1467.37092
Shi, Zhenfeng; Zhang, Xinhong
2020
Dynamics analysis of fractional-order Hopfield neural networks. Zbl 07336066
Batiha, Iqbal M.; Albadarneh, Ramzi B.; Momani, Shaher; Jebril, Iqbal H.
2020
Mathematical modeling and analysis of meningococcal meningitis transmission dynamics. Zbl 1434.34042
Musa, Salihu Sabiu; Zhao, Shi; Hussaini, Nafiu; Garba Habib, Abdulrazaq; He, Daihai
2020
An edge-based model for non-Markovian sexually transmitted infections in coupled network. Zbl 1443.92179
Luo, Xiaofeng; Yang, Junyuan; Jin, Zhen; Li, Jia
2020
Global stability and optimal control of a two-patch tuberculosis epidemic model using fractional-order derivatives. Zbl 1443.92176
Kheiri, Hossein; Jafari, Mohsen
2020
Dynamical analysis of a two-species competitive system with state feedback impulsive control. Zbl 1461.92102
Xu, Jing; Huang, Mingzhan; Song, Xinyu
2020
Spatiotemporal dynamics of immunogenic tumors. Zbl 1464.35377
Singh, Teekam; Banerjee, Sandip
2020
Investigating the effect of pyroptosis on the slow CD4+ T cell depletion in HIV-1 infection, by dynamical analysis of its discontinuous mathematical model. Zbl 1461.92018
Monfared, Z.; Omidi, F.; Qaseminezhad Raeini, Y.
2020
Hopf bifurcation and chaos in a Leslie-Gower prey-predator model with discrete delays. Zbl 1461.92099
Singh, Anuraj; Preeti; Malik, Pradeep
2020
A stochastic threshold of a delayed epidemic model incorporating Lévy processes with harmonic mean and vaccination. Zbl 1461.92107
El Fatini, Mohamed; Sekkak, Idriss; Laaribi, Aziz; Pettersson, Roger; Wang, Kai
2020
Invasion waves for a diffusive predator-prey model with two preys and one predator. Zbl 1461.92097
Ren, Xinzhi; Zhang, Tianran; Liu, Xianning
2020
Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology. Zbl 1443.92192
Dubey, Ved Prakash; Kumar, Rajnesh; Kumar, Devendra
2020
Existence and finite-time stability of a unique almost periodic positive solution for fractional-order Lasota-Wazewska red blood cell models. Zbl 1443.34091
Li, Yongkun; Wang, Yaolu; Li, Bing
2020
Bifurcations and chaos control in a discrete-time biological model. Zbl 1464.39013
Khan, A. Q.; Khalique, T.
2020
Biomathematical model for gyrotactic free-forced bioconvection with oxygen diffusion in near-wall transport within a porous medium fuel cell. Zbl 1465.92067
Nima, Nayema Islam; Ferdows, M.; Anwar Bég, O.; Kuharat, S.; Alzahrani, Faris
2020
Permanence and extinction of stochastic regime-switching mutualism model. Zbl 1465.92140
Lv, Guangying; Zhang, Beibei
2020
Stability and bifurcation analysis for a delayed viral infection model with full logistic proliferation. Zbl 1461.92109
Geng, Yan; Xu, Jinhu
2020
Oscillatory behavior of p53-Mdm2 system driven by transcriptional and translational time delays. Zbl 1461.92017
Gao, Chunyan; Liu, Haihong; Liu, Zengrong; Zhang, Yuan; Yan, Fang
2020
An SI integrated pest management model with pesticide resistance to susceptible pests. Zbl 1461.92133
Li, Jinyang; Huang, Qingdao; Liu, Bing
2020
Dynamics of a diffusive predator-prey system with ratio-dependent functional response and time delay. Zbl 1461.92088
Jiang, Xin; Zhang, Ran; She, Zhikun
2020
Qualitative properties and bifurcations of discrete-time Bazykin-Berezovskaya predator-prey model. Zbl 1462.37100
Elsadany, A. A.; Din, Qamar; Salman, S. M.
2020
On the Simpson index for the Wright-Fisher process with random selection and immigration. Zbl 1458.92084
Guillin, Arnaud; Jabot, Franck; Personne, Arnaud
2020
A multi-delay model for pest control with awareness induced interventions – Hopf bifurcation and optimal control analysis. Zbl 1461.49036
2020
New wavelet method for solving boundary value problems arising from an adiabatic tubular chemical reactor theory. Zbl 07336044
Ali, Mohamed R.; Baleanu, Dumitru
2020
Cooperative hunting in a discrete predator-prey system. Zbl 1461.92083
Chow, Yunshyong; Jang, Sophia R.-J.; Wang, Hua-Ming
2020
Stochastic properties of solution for a chemostat model with a distributed delay and random disturbance. Zbl 1465.37106
Zhang, Xiaofeng; Yuan, Rong
2020
Bifurcation analysis of a fractional-order SIQR model with double time delays. Zbl 1461.92113
Liu, Shouzong; Yu, Ling; Huang, Mingzhan
2020
Hopf bifurcation analysis of predator-prey model with two delays and disease transmission. Zbl 1465.34093
Shi, Renxiang
2020
Dynamics of a stochastic periodic SIRS model with time delay. Zbl 1461.92119
Shi, Xiangyun; Cao, Yimeng
2020
Pythagorean $$m$$-polar fuzzy topology with TOPSIS approach in exploring most effectual method for curing from COVID-19. Zbl 1461.92044
Naeem, Khalid; Riaz, Muhammad; Peng, Xindong; Afzal, Deeba
2020
Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method. Zbl 1409.34038
Huang, Chuangxia; Zhang, Hua
2019
On a new modified fractional analysis of Nagumo equation. Zbl 1421.35118
Saad, Khaled M.; Deniz, Sinan; Baleanu, Dumitru
2019
Stochastic dynamics of the delayed chemostat with Lévy noises. Zbl 1422.34246
Zhao, Dianli; Yuan, Sanling; Liu, Haidong
2019
Analysis of a predator-prey model with herd behavior and disease in prey incorporating prey refuge. Zbl 1406.92518
Saha, Sangeeta; Samanta, G. P.
2019
Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size. Zbl 1406.92595
Liu, Shitao; Zhang, Liang; Zhang, Xiao-Bing; Li, Aibing
2019
Analysis of a delayed diffusive model with Beddington-DeAngelis functional response. Zbl 1418.35030
Meng, Xin-You; Wang, Jiao-Guo
2019
Bipolar fuzzy soft mappings with application to bipolar disorders. Zbl 1437.92064
Riaz, Muhammad; Tehrim, Syeda Tayyba
2019
Under the influence of crowding effects: stability, bifurcation and chaos control for a discrete-time predator-prey model. Zbl 1415.92141
Abbasi, Muhammad Aqib; Din, Qamar
2019
Convergence of neutral type proportional-delayed HCNNs with $$D$$ operators. Zbl 1406.92014
Xu, Yanli; Zhong, Jiaming
2019
New results for a Lasota-Wazewska model. Zbl 1409.35114
Chérif, Farouk; Miraoui, Mohsen
2019
Media effects on the dynamics of a stochastic SIRI epidemic model with relapse and Lévy noise perturbation. Zbl 1425.92174
Berrhazi, Badr-Eddine; El Fatini, Mohamed; Pettersson, Roger; Laaribi, Aziz
2019
Mathematical modeling and analysis of innate and humoral immune responses to dengue infections. Zbl 1430.34061
Perera, Sulanie; Perera, S. S. N.
2019
Ocean ecosystem discrete time dynamics generated by $$\ell$$-Volterra operators. Zbl 1490.92131
Rozikov, U. A.; Shoyimardonov, S. K.
2019
Lyapunov function and global stability for a two-strain SEIR model with bilinear and non-monotone incidence. Zbl 1409.92225
Bentaleb, Dounia; Amine, Saida
2019
Global stability analysis of fractional-order gene regulatory networks with time delay. Zbl 1425.34097
Wu, Zhaohua; Wang, Zhiming; Zhou, Tiejun
2019
Modeling and analyzing dynamics of malaria transmission with host immunity. Zbl 1422.92142
Cai, Li-Ming; Li, Zhaoqing; Liu, Jinliang
2019
A parameter uniform essentially first-order convergent numerical method for a parabolic system of singularly perturbed differential equations of reaction-diffusion type with initial and Robin boundary conditions. Zbl 07012060
Ishwariya, R.; Miller, J. J. H.; Valarmathi, S.
2019
A model of a human heart via graph nano topological spaces. Zbl 1405.05180
Nawar, Ashraf S.; El Atik, Abd El Fattah A.
2019
A study of stability and bifurcation analysis in discrete-time predator-prey system involving the Allee effect. Zbl 1405.39008
Işık, Seval
2019
Interplay between reproduction and age selective harvesting: a case study of hilsa (Tenualosa ilisha) fish at Sundarban estuary of northern Bay of Bengal, India. Zbl 1409.92199
Jana, Debaldev; Dutta, Sachinandan; Samanta, G. P.
2019
Optimal harvesting of a hierarchical age-structured population system. Zbl 1431.92146
He, Ze-Rong; Ni, Dongdong; Wang, Shu-Ping
2019
Stationary distribution and periodic solution of stochastic chemostat models with single-species growth on two nutrients. Zbl 1451.60057
Gao, Miaomiao; Jiang, Daqing; Hayat, Tasawar
2019
Mathematical analysis of a tuberculosis model with imperfect vaccine. Zbl 1426.92040
Egonmwan, A. O.; Okuonghae, D.
2019
Existence and stability of invasion traveling waves for a competition system with random vs. nonlocal dispersals. Zbl 1407.35049
Wang, Jiao; Yu, Zhixian; Meng, Yanling
2019
Dynamical behaviors of the generalized hematopoiesis model with discontinuous harvesting terms. Zbl 1406.92103
Kong, Fanchao
2019
Robust delay-dependent stability of uncertain inertial neural networks with impulsive effects and distributed-delay. Zbl 1406.92015
Yu, Tianhu; Liu, Shengqiang; Wang, Huamin; Cui, Yingjia; Cao, Dengqing
2019
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### Cited by 3,379 Authors

 55 Chen, Lansun 41 Elaiw, Ahmed M. 33 Meng, Xinzhu 30 Jiao, Jianjun 29 Teng, Zhi-dong 26 Song, Xinyu 25 Huo, Hai-Feng 23 Cai, Shaohong 23 Chen, Fengde 23 Liu, Zhijun 21 Jiang, Daqing 20 Hayat, Tasawar 18 Liu, Shengqiang 18 Tang, Sanyi 18 Zhang, Tonghua 17 Al-saedi, Ahmed Eid Salem 17 Cao, Jinde 16 Khan, Muhammad Altaf 16 Liu, Bing 16 Wang, Lianwen 15 Gao, Shujing 15 Hattaf, Khalid 15 Wang, Weiming 14 Cui, Jingan 14 Misra, Arvind Kumar 14 Wang, Xia 14 Xiang, Hong 13 Băleanu, Dumitru I. 13 Davvaz, Bijan 13 Huang, Chuangxia 13 Wang, Jinliang 13 Zhang, Tongqian 12 Akbar, Noreen Sher 12 Alshamrani, Noura H. 12 Chattopadhyay, Joydev 12 Chen, Yuming 12 Cheng, Huidong 12 Li, Zuxiong 12 Ma, Wanbiao 12 Samanta, Sudip K. 12 Xie, Xiangdong 12 Zhang, Fengqin 11 El Fatini, Mohamed 11 Tiwari, Pankaj Kumar 11 Wei, Chunjin 11 Xu, Rui 11 Yuan, Sanling 11 Zhao, Min 10 Cai, Yongli 10 Djilali, Salih 10 Huang, Mingzhan 10 Jin, Zhen 10 Khajanchi, Subhas 10 Li, Limei 10 Qiu, Zhipeng 10 Rong, Libin 10 Samanta, Guru Prasad 10 Yuan, Rong 9 Feng, Tao 9 Hobiny, Aatef D. 9 Kang, Baolin 9 Kar, Tapan Kumar 9 Liu, Qun 9 Meng, Xinyou 9 Rai, Rajanish Kumar 9 Rihan, Fathalla A. 9 Tian, Yuan 9 Yang, Junyuan 9 Yüzbaşı, Şuayip 9 Zhang, Tianwei 9 Zhao, Zhong 9 Zhou, Tiejun 8 Alshaikh, Matuka A. 8 Dai, Chuanjun 8 de la Sen, Manuel 8 Din, Qamar 8 Feng, Enmin 8 Guin, Lakshmi Narayan 8 Islam, Saeed 8 Kumar Roy, Priti 8 Liu, Maoxing 8 Liu, Shutang 8 Liu, Xianning 8 Rezapour, Shahram 8 Tian, Fangbao 8 Venturino, Ezio 8 Yousfi, Noura 8 Zhang, Long 8 Zhou, Xueyong 7 Gómez-Aguilar, José Francisco 7 Guo, Hongjian 7 Jiang, Yaolin 7 Khan, Yasir 7 Kheiri, Hossein 7 Kong, Fanchao 7 Li, Xuezhi 7 Lin, Zhigui 7 Liu, Chao 7 Liu, Haidong 7 Liu, Shouzong ...and 3,279 more Authors
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### Cited in 247 Journals

 292 International Journal of Biomathematics 175 Advances in Difference Equations 109 Chaos, Solitons and Fractals 95 Applied Mathematics and Computation 91 Physica A 83 Discrete Dynamics in Nature and Society 65 Mathematical Biosciences and Engineering 45 Journal of Applied Mathematics and Computing 43 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 41 Nonlinear Dynamics 41 Abstract and Applied Analysis 38 Mathematics and Computers in Simulation 38 Nonlinear Analysis. Real World Applications 31 Discrete and Continuous Dynamical Systems. Series B 31 Journal of Biological Dynamics 29 Mathematical Methods in the Applied Sciences 29 Complexity 27 Applied Mathematical Modelling 27 Communications in Nonlinear Science and Numerical Simulation 27 Journal of Applied Analysis and Computation 27 International Journal of Applied and Computational Mathematics 26 Mathematical Biosciences 23 AIMS Mathematics 22 Journal of Biological Systems 20 Journal of the Franklin Institute 20 Mathematical Problems in Engineering 19 Journal of Theoretical Biology 18 Computational & Mathematical Methods in Medicine 17 Bulletin of Mathematical Biology 16 Journal of Difference Equations and Applications 15 Nonlinear Analysis. Modelling and Control 15 Journal of Applied Mathematics 13 Journal of Computational and Applied Mathematics 13 Applied Mathematics Letters 13 Fractals 12 Journal of Mathematical Analysis and Applications 12 Journal of Mathematical Biology 12 Computational and Applied Mathematics 12 Journal of the Egyptian Mathematical Society 12 Journal of Inequalities and Applications 12 Qualitative Theory of Dynamical Systems 12 International Journal of Nonlinear Sciences and Numerical Simulation 12 Boundary Value Problems 12 Journal of Nonlinear Science and Applications 11 Computers & Mathematics with Applications 11 Filomat 10 Journal of Applied Nonlinear Dynamics 10 Journal of Function Spaces 9 Acta Applicandae Mathematicae 9 Differential Equations and Dynamical Systems 9 Chaos 9 Nonlinear Analysis. Hybrid Systems 8 Ricerche di Matematica 8 Applied Numerical Mathematics 8 Communications on Pure and Applied Analysis 8 Mathematical Modelling of Natural Phenomena 8 Journal of Mathematics 8 Open Mathematics 7 Applicable Analysis 7 Discrete and Continuous Dynamical Systems. Series S 6 International Journal of Control 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 International Journal of Computer Mathematics 6 Acta Mathematica Scientia. Series B. (English Edition) 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Applications and Applied Mathematics 6 International Journal of Differential Equations 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Stochastic Analysis and Applications 5 Mathematical and Computer Modelling 5 Neural Networks 5 Afrika Matematika 5 Mathematics 4 Indian Journal of Pure & Applied Mathematics 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Differential Equations 4 Physica D 4 Journal of Mathematical Chemistry 4 Soft Computing 4 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 4 Journal of Systems Science and Complexity 4 Applied Mathematics E-Notes 4 Advances in Mathematical Physics 4 Journal of Mathematics and Computer Science. JMCS 3 Journal of Computational Physics 3 Journal of Engineering Mathematics 3 SIAM Journal on Applied Mathematics 3 Journal of Dynamics and Differential Equations 3 Journal of Nonlinear Science 3 Taiwanese Journal of Mathematics 3 International Journal of Applied Mathematics and Computer Science 3 Journal of Dynamical and Control Systems 3 Mathematical Modelling and Analysis 3 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 S$$\vec{\text{e}}$$MA Journal 3 Nonautonomous Dynamical Systems 2 Physics Letters. A 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Optimization 2 Meccanica ...and 147 more Journals
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### Cited in 49 Fields

 1,735 Biology and other natural sciences (92-XX) 1,017 Ordinary differential equations (34-XX) 329 Partial differential equations (35-XX) 304 Dynamical systems and ergodic theory (37-XX) 177 Systems theory; control (93-XX) 160 Numerical analysis (65-XX) 142 Probability theory and stochastic processes (60-XX) 113 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 110 Fluid mechanics (76-XX) 109 Calculus of variations and optimal control; optimization (49-XX) 98 Real functions (26-XX) 90 Difference and functional equations (39-XX) 88 Statistical mechanics, structure of matter (82-XX) 42 Operator theory (47-XX) 31 Classical thermodynamics, heat transfer (80-XX) 28 Mechanics of deformable solids (74-XX) 27 Computer science (68-XX) 26 Operations research, mathematical programming (90-XX) 20 Integral equations (45-XX) 19 Statistics (62-XX) 19 Information and communication theory, circuits (94-XX) 17 Combinatorics (05-XX) 14 General topology (54-XX) 12 Mathematical logic and foundations (03-XX) 11 Group theory and generalizations (20-XX) 11 Special functions (33-XX) 10 Optics, electromagnetic theory (78-XX) 9 Approximations and expansions (41-XX) 8 Integral transforms, operational calculus (44-XX) 7 Mechanics of particles and systems (70-XX) 6 Measure and integration (28-XX) 5 Functional analysis (46-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Abstract harmonic analysis (43-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Geophysics (86-XX)