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Mathematical Biosciences and Engineering

A Joint Journal of American Institute of Mathematical Sciences and Beihang University

Short Title: Math. Biosci. Eng.
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 1547-1063; 1551-0018/e
Online: http://www.aimspress.com/journal/MBE/archive.html
http://kuang.la.asu.edu/MBEJournal/
Comments: Indexed cover-to-cover; Published electronic only as of Vol. 7 (2010). Print ISSN until then: 1547-1063
Documents Indexed: 1,518 Publications (since 2004)
References Indexed: 987 Publications with 37,495 References.
all top 5

Authors

24 Castillo-Chavez, Carlos
21 Banks, Harvey Thomas
16 Wu, Jianhong
14 Kuang, Yang
14 Ledzewicz, Urszula
13 Friedman, Avner
12 Schättler, Heinz Michael
12 Song, Baojun
12 Zhu, Huaiping
11 Feng, Zhilan
11 Takeuchi, Yasuhiro
10 Ackleh, Azmy S.
10 Brauer, Fred
9 Foryś, Urszula
9 Gumel, Abba B.
9 Liu, Shengqiang
9 Qiu, Zhipeng
9 Ruan, Shigui
9 Zou, Xingfu
8 Chowell, Gerardo
8 d’Onofrio, Alberto
8 Hyman, James M.
8 Jin, Zhen
8 Kang, Yun
8 Korobeinikov, Andrei
8 Kribs-Zaleta, Christopher M.
8 Li, Jia
8 Liu, Maoxing
7 Fan, Meng
7 Hu, Shuhua
7 McCluskey, C. Connell
7 van den Driessche, Pauline
7 Wang, Wendi
7 Xiao, Yanni
6 Bodnar, Marek
6 Bollt, Erik M.
6 Buonomo, Bruno
6 Cai, Yongli
6 Chen, Yuming
6 Lenhart, Suzanne M.
6 Levy, Doron
6 Ma, Zhien
6 Nieto-Villar, José Manuel
6 Wang, Kaifa
6 Wang, Lin
6 Zhou, Yicang
5 Al-Nabhan, Najla
5 Allen, Linda J. S.
5 Buonocore, Aniello
5 Craciun, Gheorghe
5 Dimitrov, Dobromir T.
5 Gandolfi, Alberto
5 Kashdan, Eugene
5 Kim, Yangjin
5 Kirschner, Denise E.
5 Kuniya, Toshikazu
5 Li, Jianquan
5 Li, Xuezhi
5 Lungu, Edward M.
5 Pirozzi, Enrica
5 Sari, Tewfik
5 Shim, Eunha
5 Smith?, Robert Joseph
5 Świerniak, Andrzej P.
5 Wang, Jin
5 Wang, Jinliang
5 Wang, Weiming
5 Watmough, James
5 Xu, Rui
5 Yan, Xuehu
5 Yuan, Sanling
4 Anderson, Alexander R. A.
4 Arino, Julien
4 Banerjee, Malay
4 Beretta, Edoardo
4 Breda, Dimitri
4 Cantrell, Robert Stephen
4 Caputo, Luigia
4 Colombo, Rinaldo M.
4 Cuesta-Frau, David
4 Cushing, Jim M.
4 Eberl, Hermann J.
4 Fortuna, Luigi
4 Frasca, Mattia
4 Fujarewicz, Krzysztof
4 Garira, Winston S.
4 Greenwood, Priscilla E.
4 Harmand, Jérôme
4 Hinow, Peter
4 Izquierdo-Kulich, Elena
4 Kim, Peter S.
4 Kwon, Hee-Dae
4 Lacitignola, Deborah
4 Lei, Jinzhi
4 Li, Mingtao
4 Lou, Jie
4 Ma, Tinghuai
4 Martcheva, Maia
4 Maurer, Helmut
4 Milner, Fabio Augusto
...and 3,418 more Authors
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Fields

1,286 Biology and other natural sciences (92-XX)
403 Ordinary differential equations (34-XX)
217 Partial differential equations (35-XX)
161 Dynamical systems and ergodic theory (37-XX)
122 Computer science (68-XX)
111 Systems theory; control (93-XX)
104 Numerical analysis (65-XX)
90 Statistics (62-XX)
86 Probability theory and stochastic processes (60-XX)
72 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
64 Calculus of variations and optimal control; optimization (49-XX)
58 Information and communication theory, circuits (94-XX)
44 Operations research, mathematical programming (90-XX)
34 General and overarching topics; collections (00-XX)
34 Fluid mechanics (76-XX)
25 Difference and functional equations (39-XX)
21 Mechanics of deformable solids (74-XX)
15 Statistical mechanics, structure of matter (82-XX)
13 Integral equations (45-XX)
11 History and biography (01-XX)
11 Mechanics of particles and systems (70-XX)
10 Real functions (26-XX)
9 Combinatorics (05-XX)
7 Operator theory (47-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Geophysics (86-XX)
4 Measure and integration (28-XX)
4 Optics, electromagnetic theory (78-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Functional analysis (46-XX)
2 Mathematical logic and foundations (03-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Nonassociative rings and algebras (17-XX)
2 Approximations and expansions (41-XX)
2 Differential geometry (53-XX)
2 Mathematics education (97-XX)
1 Number theory (11-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)
1 Quantum theory (81-XX)

Publications by Year

Citations contained in zbMATH Open

680 Publications have been cited 5,323 times in 3,888 Documents Cited by Year
Dynamical models of tuberculosis and their applications. Zbl 1060.92041
Castillo-Chavez, Carlos; Song, Baojun
366
2004
A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence. Zbl 1062.92061
Korobeinikov, Andrei; Maini, Philip K.
98
2004
Global stability for an SEIR epidemiological model with varying infectivity and infinite delay. Zbl 1190.34108
McCluskey, C. Connell
64
2009
Modeling diseases with latency and relapse. Zbl 1123.92018
van den Driessche, P.; Wang, Lin; Zou, Xingfu
60
2007
An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Zbl 1060.92038
Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S.
59
2004
Evolution of dispersal and the ideal free distribution. Zbl 1188.35102
Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan
55
2010
Dynamic multidrug therapies for HIV: Optimal and STI control approaches. Zbl 1060.92034
Adams, B. M.; Banks, H. T.; Kwon, Hee-Dae; Tran, Hien T.
54
2004
Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes. Zbl 1259.34068
McCluskey, C. Connell
54
2012
Dynamics of an infectious diseases with media/psychology induced non-smooth incidence. Zbl 1259.92061
Xiao, Yanni; Zhao, Tingting; Tang, Sanyi
54
2013
Epidemic threshold conditions for seasonally forced SEIR models. Zbl 1089.92048
Ma, Junling; Ma, Zhien
51
2006
Lyapunov functions for tuberculosis models with fast and slow progression. Zbl 1113.92057
McCluskey, C. Connell
49
2006
Dynamics of an age-of-infection cholera model. Zbl 1273.92050
Brauer, Fred; Shuai, Zhisheng; van den Driessche, P.
49
2013
Global dynamics of a staged progression model for infectious diseases. Zbl 1092.92040
Guo, Hongbin; Li, Michael Y.
46
2006
Optimal control applied to vaccination and treatment strategies for various epidemiological models. Zbl 1169.49018
Gaff, Holly; Schaefer, Elsa
46
2009
Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Zbl 1190.35120
Huang, Wenzhang; Han, Maoan; Liu, Kaiyu
46
2010
Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment. Zbl 1140.92016
Sharomi, Oluwaseun; Podder, Chandra N.; Gumel, Abba B.; Song, Baojun
44
2008
Vector control for the Chikungunya disease. Zbl 1259.92071
Dumont, Yves; Chiroleu, Frederic
39
2010
Noise in ecosystems: a short review. Zbl 1086.92055
Spagnolo, B.; Valenti, D.; Fiasconaro, A.
38
2004
Review of stability and stabilization for impulsive delayed systems. Zbl 1416.93159
Yang, Xueyan; Li, Xiaodi; Xi, Qiang; Duan, Peiyong
37
2018
A final size relation for epidemic models. Zbl 1123.92030
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
36
2007
Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains. Zbl 1167.35426
Kao, Chiu-Yen; Lou, Yuan; Yanagida, Eiji
35
2008
SEIR epidemiological model with varying infectivity and infinite delay. Zbl 1165.34421
Röst, Gergely; Wu, Jianhong
35
2008
Global stability for a class of discrete SIR epidemic models. Zbl 1259.34064
Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki
35
2010
The effect of global travel on the spread of SARS. Zbl 1089.92049
Ruan, Shigui; Wang, Wendi; Levin, Simon A.
34
2006
An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine. Zbl 1092.92039
Gumel, A. B.; McCluskey, C. Connell; Watmough, James
34
2006
Epidemic models with nonlinear infection forces. Zbl 1089.92052
Wang, Wendi
32
2006
Time delay in necrotic core formation. Zbl 1115.34078
Bodnar, Marek; Foryś, Urszula
31
2005
The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth. Zbl 1167.92013
Eikenberry, Steffen; Hews, Sarah; Nagy, John D.; Kuang, Yang
30
2009
Global stability of an SIR epidemic model with delay and general nonlinear incidence. Zbl 1259.34067
McCluskey, C. Connell
30
2010
Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy. Zbl 1260.92065
Liu, Shengqiang; Wang, Lin
29
2010
The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity. Zbl 1070.92026
Nagy, John D.
27
2004
A simple epidemic model with surprising dynamics. Zbl 1061.92052
Berezovsky, Faina; Karev, Georgy; Song, Baojun; Castillo-Chavez, Carlos
27
2005
Mathematical analysis of a model for HIV-malaria co-infection. Zbl 1167.92020
Mukandavire, Zindoga; Gumel, Abba B.; Garira, Winston; Tchuenche, Jean Michel
27
2009
Mathematical modelling of tuberculosis epidemics. Zbl 1167.92019
Aparicio, Juan Pablo; Castillo-Chávez, Carlos
26
2009
Modeling TB and HIV co-infections. Zbl 1194.92054
Roeger, Lih-Ing W.; Feng, Z.; Castillo-Chávez, Carlos
26
2009
Lyapunov functions and global stability for SIR and SEIR models with age-dependent susceptibility. Zbl 1260.92106
Melnik, Andrey V.; Korobeinikov, Andrei
26
2013
Sensitivity and uncertainty analyses for an SARS model with time-varying inputs and outputs. Zbl 1092.92042
McLeod, Robert G.; Brewster, John F.; Gumel, Abba B.; Slonowsky, Dean A.
25
2006
Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays. Zbl 1260.92088
Yuan, Zhaohui; Zou, Xingfu
25
2013
Global stability analysis for SEIS models with \(n\) latent classes. Zbl 1155.34325
Bame, Napoleon; Bowong, Samuel; Mbang, Joseph; Sallet, Gauthier; Tewa, Jean-Jules
24
2008
Optimal control of chikungunya disease: larvae reduction, treatment and prevention. Zbl 1260.92068
Moulay, Djamila; Aziz-Alaoui, M. A.; Kwon, Hee-Dae
23
2012
Dynamics of a predator-prey system with prey subject to Allee effects and disease. Zbl 1317.34105
Kang, Yun; Sasmal, Sourav Kumar; Bhowmick, Amiya Ranjan; Chattopadhyay, Joydev
23
2014
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
23
2015
Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes. Zbl 1143.92030
Artalejo, J. R.; Economou, A.; Lopez-Herrero, M. J.
22
2007
Global analysis of discrete-time SI and SIS epidemic models. Zbl 1142.92038
Li, Jianquan; Ma, Zhien; Brauer, Fred
22
2007
Global stability of an age-structured cholera model. Zbl 1298.92107
Yang, Jianxin; Qiu, Zhipeng; Li, Xue-Zhi
22
2014
Final and peak epidemic sizes for \(SEIR\) models with quarantine and isolation. Zbl 1142.92036
Feng, Zhilan
21
2007
The estimation of the effective reproductive number from disease outbreak data. Zbl 1166.62080
Cintrón-Arias, Ariel; Castillo-Chávez, Carlos; Bettencourt, Luís M. A.; Lloyd, Alun L.; Banks, H. T.
21
2009
Evidence of chaos in eco-epidemic models. Zbl 1178.92057
Stiefs, Dirk; Venturino, Ezio; Feudel, Ulrike
21
2009
Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy. Zbl 1259.92048
Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz
21
2011
A delayed HIV-1 model with virus waning term. Zbl 1329.34129
Li, Bing; Chen, Yuming; Lu, Xuejuan; Liu, Shengqiang
21
2016
Modeling the effect of information campaigns on the HIV epidemic in Uganda. Zbl 1154.92037
Joshi, Hem; Lenhart, Suzanne; Albright, Kendra; Gipson, Kevin
20
2008
The global stability of an SIRS model with infection age. Zbl 1298.92096
Chen, Yuming; Yang, Junyuan; Zhang, Fengqin
20
2014
Stability analysis and application of a mathematical cholera model. Zbl 1260.92063
Liao, Shu; Wang, Jin
20
2011
Communication and synchronization in disconnected networks with dynamic topology: Moving neighborhood networks. Zbl 1060.92004
Skufca, Joseph D.; Bollt, Erik M.
19
2004
A passivity-based stability criterion for a class of biochemical reaction networks. Zbl 1152.34034
Arcak, Murat; Sontag, Eduardo D.
19
2008
Modeling spatial spread of West Nile virus and impact of directional dispersal of birds. Zbl 1089.92047
Liu, Rongsong; Shuai, Jiangping; Wu, Jianhong; Zhu, Huaiping
19
2006
Epidemic models for complex networks with demographics. Zbl 1326.92067
Jin, Zhen; Zhu, Huaiping
19
2014
Critical role of nosocomial transmission in the Toronto SARS outbreak. Zbl 1060.92054
Webb, Glenn F.; Blaser, Martin J.; Zhu, Huaiping; Ardal, Sten; Wu, Jianhong
18
2004
Estimation and identification of parameters in a lumped cerebrovascular model. Zbl 1159.92025
Pope, Scott R.; Ellwein, Laura M.; Zapata, Cheryl L.; Novak, Vera; Kelley, C. T.; Olufsen, Mette S.
18
2009
Optimal control of a tuberculosis model with state and control delays. Zbl 1351.49052
Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F. M.
18
2017
Differential susceptibility and infectivity epidemic models. Zbl 1101.34034
Hyman, James M.; Li, Jia
18
2006
Discrete epidemic models. Zbl 1184.92040
Brauer, Fred; Feng, Zhilan; Castillo-Chavez, Carlos
18
2010
Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China. Zbl 1306.92061
Li, Mingtao; Sun, Guiquan; Zhang, Juan; Jin, Zhen; Sun, Xiangdong; Wang, Youming; Huang, Baoxu; Zheng, Yaohui
18
2014
Feedback regulation in multistage cell lineages. Zbl 1159.92013
Lo, Wing-Cheong; Chou, Ching-Shan; Gokoffski, Kimberly K.; Wan, Frederic Y.-M.; Lander, Arthur D.; Calof, Anne L.; Nie, Qing
17
2009
Some simple epidemic models. Zbl 1089.92042
Brauer, Fred
17
2006
Malaria model with stage-structured mosquitoes. Zbl 1260.92060
Li, Jia
17
2011
Global analysis of a delayed vector-bias model for malaria transmission with incubation period in mosquitoes. Zbl 1259.34071
Vargas-De-León, Cruz
17
2012
Modeling and optimal regulation of erythropoiesis subject to Benzene intoxication. Zbl 1075.34084
Banks, H. T.; Cole, Cammey E.; Schlosser, Paul M.; Tran, Hien T.
16
2004
A single-cell approach in modeling the dynamics of tumor microregions. Zbl 1079.92046
Rejniak, Katarzyna A.
16
2005
Nonlinear semelparous Leslie models. Zbl 1089.92040
Cushing, J. M.
16
2006
Some bifurcation methods of finding limit cycles. Zbl 1136.34307
Han, Maoan; Zhang, Tonghua
16
2006
Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates. Zbl 1260.92008
Abbas, Fazal; Sudarsan, Rangarajan; Eberl, Hermann J.
16
2012
Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064
Yang, Qingshan; Mao, Xuerong
16
2014
Stoichiometric plant-herbivore models and their interpretation. Zbl 1060.92059
Kuang, Yang; Huisman, Jef; Elser, James J.
15
2004
Impulsive ecological control of a stage-structured pest management system. Zbl 1082.34005
Jiang, Guirong; Lu, Qishao; Peng, Linping
15
2005
Age-of-infection and the final size relation. Zbl 1166.92321
Brauer, Fred
15
2008
Physiologically structured populations with diffusion and dynamic boundary conditions. Zbl 1260.92097
Farkas, József Z.; Hinow, Peter
15
2011
Global dynamics of the chemostat with different removal rates and variable yields. Zbl 1260.92121
Sari, Tewfik; Mazenc, Frederic
15
2011
Pulse vaccination strategies in a metapopulation SIR model. Zbl 1260.92078
Terry, Alan J.
15
2010
A SEIR model for control of infectious diseases with constraints. Zbl 1327.92055
Biswas, M. H. A.; Paiva, L. T.; de Pinho, M.d. R.
15
2014
A note on dynamics of an age-of-infection cholera model. Zbl 1326.92072
Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu
15
2016
Delayed population models with Allee effects and exploitation. Zbl 1321.34107
Liz, Eduardo; Ruiz-Herrera, Alfonso
14
2015
Nonlinear stability of traveling wavefronts in an age-structured reaction-diffusion population model. Zbl 1148.35038
Li, Guangrui; Mei, Ming; Wong, Yau Shu
14
2008
Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model. Zbl 06646816
Yamazaki, Kazuo; Wang, Xueying
14
2017
Immunotherapy: an optimal control theory approach. Zbl 1180.92038
Fister, K. Renee; Hughes Donnelly, Jennifer
14
2005
A nonlinear \(L^2\)-stability analysis for two-species population dynamics with dispersal. Zbl 1090.92039
Rionero, Salvatore
14
2006
The replicability of oncolytic virus: defining conditions in tumor virotherapy. Zbl 1259.34029
Tian, Jianjun Paul
14
2011
A mathematical study of a syntrophic relationship of a model of anaerobic digestion process. Zbl 1259.92020
El Hajji, Miled; Mazenc, Frédéric; Harmand, Jérôme
14
2010
Coalgebraic structure of genetic inheritance. Zbl 1061.17027
Tian, Jianjun; Li, Bai-Lian
13
2004
Turing instabilities and pattern formation in a benthic nutrient-microorganism system. Zbl 1059.92005
Baurmann, Martin; Ebenhöh, Wolfgang; Feudel, Ulrike
13
2004
Spatially distributed morphogen production and morphogen gradient formation. Zbl 1072.92016
Lander, Arthur D.; Nie, Qing; Wan, Frederic Y. M.
13
2005
A mathematical model of HTLV-I infection with two time delays. Zbl 1318.34114
Lu, Xuejuan; Hui, Lulu; Liu, Shengqiang; Li, Jia
13
2015
Virus dynamics model with intracellular delays and immune response. Zbl 1321.34108
Song, Haitao; Jiang, Weihua; Liu, Shengqiang
13
2015
Optimal control of vaccine distribution in a rabies metapopulation model. Zbl 1158.92324
Asano, Erika; Gross, Louis J.; Lenhart, Suzanne; Real, Leslie A.
13
2008
An extension of the Beretta-Kuang model of viral diseases. Zbl 1158.92320
Siekmann, Ivo; Malchow, Horst; Venturino, Ezio
13
2008
Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic. Zbl 1348.35138
Di Francesco, Marco; Fagioli, Simone; Rosini, Massimiliano D.
13
2017
Use of a periodic vaccination strategy to control the spread of epidemics with seasonally varying contact rate. Zbl 1079.92058
Moneim, Islam M.; Greenhalgh, David
13
2005
The stability of an SIR epidemic model with time delays. Zbl 1089.92045
Jin, Zhen; Ma, Zhien
13
2006
On the global dynamics of a model for tumor immunotherapy. Zbl 1172.37323
Kirschner, Denise; Tsygvintsev, Alexei
13
2009
An elementary approach to modeling drug resistance in cancer. Zbl 1259.92056
Tomasetti, Cristian; Levy, Doron
13
2010
Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data. Zbl 1467.92215
Liu, Zhihua; Magal, Pierre; Seydi, Ousmane; Webb, Glenn
5
2020
A discrete stochastic model of the COVID-19 outbreak: forecast and control. Zbl 1467.92200
He, Sha; Tang, Sanyi; Rong, Libin
1
2020
Modelling the effects of media coverage and quarantine on the COVID-19 infections in the UK. Zbl 1467.92197
Feng, Li-Xiang; Jing, Shuang-Lin; Hu, Shi-Ke; Wang, De-Fen; Huo, Hai-Feng
1
2020
Global dynamics of tick-borne diseases. Zbl 1467.92205
Kashkynbayev, Ardak; Koptleuova, Daiana
1
2020
Stability analysis and Hopf bifurcation in a diffusive epidemic model with two delays. Zbl 1467.92185
Dai, Huan; Liu, Yuying; Wei, Junjie
1
2020
Basic stochastic model for tumor virotherapy. Zbl 1467.92096
Phan, Tuan Anh; Tian, Jianjun Paul
1
2020
Explicit solution of a Lotka-Sharpe-McKendrick system involving neutral delay differential equations using the \(r\)-Lambert \(W\) function. Zbl 07378517
Jamilla, Cristeta U.; Mendoza, Renier G.; Mendoza, Victoria May P.
1
2020
Mosquito population control strategies for fighting against arboviruses. Zbl 07381657
Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas
1
2019
Review of stability and stabilization for impulsive delayed systems. Zbl 1416.93159
Yang, Xueyan; Li, Xiaodi; Xi, Qiang; Duan, Peiyong
37
2018
Pattern formation of a predator-prey model with the cost of anti-predator behaviors. Zbl 1406.92530
Wang, Xiaoying; Zou, Xingfu
13
2018
Dynamics of a Filippov epidemic model with limited hospital beds. Zbl 1406.92625
Wang, Aili; Xiao, Yanni; Zhu, Huaiping
11
2018
Effect of seasonality on the dynamics of an imitation-based vaccination model with public health intervention. Zbl 1375.92063
Buonomo, Bruno; Carbone, Giuseppe; d’Onofrio, Alberto
8
2018
Complex Wolbachia infection dynamics in mosquitoes with imperfect maternal transmission. Zbl 1375.92075
Zheng, Bo; Guo, Wenliang; Hu, Linchao; Huang, Mugen; Yu, Jianshe
8
2018
Dynamics of delayed mosquitoes populations models with two different strategies of releasing sterile mosquitoes. Zbl 1406.92490
Cai, Liming; Ai, Shangbing; Fan, Guihong
7
2018
Mathematical insights on psoriasis regulation: role of \(\mathrm{Th}_{1}\) and \(\mathrm{Th}_{2}\) cells. Zbl 1406.92159
Roy, Amit Kumar; Roy, Priti Kumar; Grigorieva, Ellina
6
2018
Enhancement of chemotherapy using oncolytic virotherapy: mathematical and optimal control analysis. Zbl 1416.92091
Malinzi, Joseph; Ouifki, Rachid; Eladdadi, Amina; Torres, Delfim F. M.; White, K. A. Jane
6
2018
Influence of Allee effect in prey populations on the dynamics of two-prey-one-predator model. Zbl 1406.92520
Sen, Moitri; Banerjee, Malay; Takeuchi, Yasuhiro
5
2018
The mean and noise of stochastic gene transcription with cell division. Zbl 1406.92222
Wang, Qi; Huang, Lifang; Wen, Kunwen; Yu, Jianshe
5
2018
Mathematical analysis of a weather-driven model for the population ecology of mosquitoes. Zbl 1375.92055
Okuneye, Kamaldeen; Abdelrazec, Ahmed; Gumel, Abba B.
5
2018
Optimal individual strategies for influenza vaccines with imperfect efficacy and durability of protection. Zbl 1406.92364
Salvarani, Francesco; Turinici, Gabriel
4
2018
Hopf bifurcation analysis in a diffusive predator-prey system with delay and surplus killing effect. Zbl 1406.92521
Shen, Zuolin; Wei, Junjie
4
2018
Quantifying the survival uncertainty of Wolbachia-infected mosquitoes in a spatial model. Zbl 1406.92522
Strugarek, Martin; Vauchelet, Nicolas; Zubelli, Jorge P.
4
2018
Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents. Zbl 1379.92055
Bürger, Raimund; Chowell, Gerardo; Gavilán, Elvis; Mulet, Pep; Villada, Luis M.
4
2018
Analysis of an HIV infection model incorporating latency age and infection age. Zbl 1406.92627
Wang, Jinliang; Dong, Xiu
3
2018
Delay induced spatiotemporal patterns in a diffusive intraguild predation model with Beddington-DeAngelis functional response. Zbl 1406.92499
Han, Renji; Dai, Binxiang; Wang, Lin
3
2018
Analysis of a mathematical model for brain lactate kinetics. Zbl 1406.92082
Guillevin, Carole; Guillevin, Rémy; Miranville, Alain; Perrillat-Mercerot, Angélique
3
2018
Modeling ebola virus disease transmissions with reservoir in a complex virus life ecology. Zbl 1378.34071
Berge, Tsanou; Bowong, Samuel; Lubuma, Jean; Manyombe, Martin Luther Mann
3
2018
Mathematical model for the growth of mycobacterium tuberculosis in the granuloma. Zbl 1376.34048
Ibargüen-Mondragón, Eduardo; Esteva, Lourdes; Burbano-Rosero, Edith Mariela
3
2018
Early and late stage profiles for a chemotaxis model with density-dependent jump probability. Zbl 1416.92030
Xu, Tianyuan; Ji, Shanming; Jin, Chunhua; Mei, Ming; Yin, Jingxue
3
2018
EEG in neonates: forward modeling and sensitivity analysis with respect to variations of the conductivity. Zbl 1406.92337
Azizollahi, Hamed; Darbas, Marion; Diallo, Mohamadou M.; El Badia, Abdellatif; Lohrengel, Stephanie
2
2018
The role of structural viscoelasticity in deformable porous media with incompressible constituents: applications in biomechanics. Zbl 1406.92040
Verri, Maurizio; Guidoboni, Giovanna; Bociu, Lorena; Sacco, Riccardo
2
2018
Optimal control problems with time delays: two case studies in biomedicine. Zbl 1406.92300
Göllmann, Laurenz; Maurer, Helmut
2
2018
A network model for control of dengue epidemic using sterile insect technique. Zbl 1379.92064
Mishra, Arti; Ambrosio, Benjamin; Gakkhar, Sunita; Aziz-Alaoui, M. A.
2
2018
Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China. Zbl 1375.92076
Zhou, Linhua; Fan, Meng; Hou, Qiang; Jin, Zhen; Sun, Xiangdong
2
2018
The potential impact of a prophylactic vaccine for Ebola in Sierra Leone. Zbl 1375.92062
Bodine, Erin N.; Cook, Connor; Shorten, Mikayla
2
2018
Modeling the control of infectious diseases: effects of TV and social media advertisements. Zbl 1416.92162
Misra, Arvind Kumar; Rai, Rajanish Kumar; Takeuchi, Yasuhiro
2
2018
Dynamics of an ultra-discrete SIR epidemic model with time delay. Zbl 1406.92617
Sekiguchi, Masaki; Ishiwata, Emiko; Nakata, Yukihiko
1
2018
Feedback control of an HBV model based on ensemble Kalman filter and differential evolution. Zbl 1406.92353
Jang, Junyoung; Jang, Kihoon; Kwon, Hee-Dae; Lee, Jeehyun
1
2018
Closed-loop control of tumor growth by means of anti-angiogenic administration. Zbl 1406.92286
Cacace, Filippo; Cusimano, Valerio; Germani, Alfredo; Palumbo, Pasquale; Papa, Federico
1
2018
Continuous and pulsed epidemiological models for onchocerciasis with implications for eradication strategy. Zbl 1406.92354
Ledder, Glenn; Sylvester, Donna; Bouchat, Rachelle R.; Thiel, Johann A.
1
2018
Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis: analysis of a spatially nonlocal model. Zbl 1406.92497
Gourley, Stephen A.; Lai, Xiulan; Shi, Junping; Wang, Wendi; Xiao, Yanyu; Zou, Xingfu
1
2018
The four-dimensional Kirschner-Panetta type cancer model: how to obtain tumor eradication? Zbl 1406.92311
Krishchenko, Alexander P.; Starkov, Konstantin E.
1
2018
Sex-biased prevalence in infections with heterosexual, direct, and vector-mediated transmission: a theoretical analysis. Zbl 1375.92069
Pugliese, Andrea; Gumel, Abba B.; Milner, Fabio A.; Velasco-Hernandez, Jorge X.
1
2018
A simple model of HIV epidemic in Italy: the role of the antiretroviral treatment. Zbl 1373.92077
Papa, Federico; Binda, Francesca; Felici, Giovanni; Franzetti, Marco; Gandolfi, Alberto; Sinisgalli, Carmela; Balotta, Claudia
1
2018
Prediction of influenza peaks in Russian cities: comparing the accuracy of two SEIR models. Zbl 1373.37190
Leonenko, Vasiliy N.; Ivanov, Sergey V.
1
2018
Optimal vaccination strategies for an SEIR model of infectious diseases with logistic growth. Zbl 1377.49021
Thäter, Markus; Chudej, Kurt; Pesch, Hans Josef
1
2018
Modeling crowd dynamics through coarse-grained data analysis. Zbl 1417.91397
Motsch, Sebastien; Moussaïd, Mehdi; Guillot, Elsa G.; Moreau, Mathieu; Pettré, Julien; Theraulaz, Guy; Appert-Rolland, Cécile; Degond, Pierre
1
2018
Dynamical analysis for a hepatitis B transmission model with immigration and infection age. Zbl 1416.92176
Zhang, Suxia; Guo, Hongbin; Smith?, Robert
1
2018
Ebola: impact of hospital’s admission policy in an overwhelmed scenario. Zbl 1416.92174
Zahid, Mondal Hasan; Kribs, Christopher M.
1
2018
Dynamics of a stochastic delayed Harrison-type predation model: effects of delay and stochastic components. Zbl 1416.92145
Rao, Feng; Castillo-Chavez, Carlos; Kang, Yun
1
2018
State feedback impulsive control of computer worm and virus with saturated incidence. Zbl 1414.68014
Zhang, Meng; Liu, Kaiyuan; Chen, Lansun; Li, Zeyu
1
2018
Coexistence of a cross-diffusive West Nile virus model in a heterogenous environment. Zbl 1416.92169
Tarboush, Abdelrazig K.; Ge, Jing; Lin, Zhigui
1
2018
Optimal control of a tuberculosis model with state and control delays. Zbl 1351.49052
Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F. M.
18
2017
Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model. Zbl 06646816
Yamazaki, Kazuo; Wang, Xueying
14
2017
Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic. Zbl 1348.35138
Di Francesco, Marco; Fagioli, Simone; Rosini, Massimiliano D.
13
2017
A two-patch prey-predator model with predator dispersal driven by the predation strength. Zbl 1417.37282
Kang, Yun; Sasmal, Sourav Kumar; Messan, Komi
12
2017
Invasion entire solutions in a time periodic Lotka-Volterra competition system with diffusion. Zbl 1364.35381
Du, Li-Jun; Li, Wan-Tong; Wang, Jia-Bing
7
2017
An SEI infection model incorporating media impact. Zbl 1367.34061
Lu, Xuejuan; Wang, Shaokai; Liu, Shengqiang; Li, Jia
7
2017
The risk index for an SIR epidemic model and spatial spreading of the infectious disease. Zbl 1364.35396
Zhu, Min; Guo, Xiaofei; Lin, Zhigui
7
2017
Modulation of first-passage time for bursty gene expression via random signals. Zbl 1367.92035
Li, Qiuying; Huang, Lifang; Yu, Jianshe
6
2017
On the continuity of the function describing the times of meeting impulsive set and its application. Zbl 1373.37193
Tang, Sanyi; Pang, Wenhong
6
2017
Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations. Zbl 1364.65011
Yuan, Sanling; Ji, Xuehui; Zhu, Huaiping
6
2017
Global stability of the steady states of an epidemic model incorporating intervention strategies. Zbl 1365.92116
Cai, Yongli; Kang, Yun; Wang, Weiming
5
2017
A mathematical model for the seasonal transmission of schistosomiasis in the lake and marshland regions of China. Zbl 1382.37100
Li, Yingke; Teng, Zhidong; Ruan, Shigui; Li, Mingtao; Feng, Xiaomei
5
2017
Local controllability and optimal control for a model of combined anticancer therapy with control delays. Zbl 1351.93018
Klamka, Jerzy; Maurer, Helmut; Swierniak, Andrzej
4
2017
The role of TNF-\(\alpha\) inhibitor in glioma virotherapy: a mathematical model. Zbl 1362.92034
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczynski, Maciej; Friedman, Avner
4
2017
Moments of von Mises and Fisher distributions and applications. Zbl 1358.35204
Hillen, Thomas; Painter, Kevin J.; Swan, Amanda C.; Murtha, Albert D.
4
2017
Effect of seasonal changing temperature on the growth of phytoplankton. Zbl 1404.92214
Chen, Ming; Fan, Meng; Yuan, Xing; Zhu, Huaiping
4
2017
A singular limit for an age structured mutation problem. Zbl 1352.35197
Banasiak, Jacek; Falkiewicz, Aleksandra
3
2017
Numerical simulations of a 3D fluid-structure interaction model for blood flow in an atherosclerotic artery. Zbl 1404.76304
Kafi, Oualid; El Khatib, Nader; Tiago, Jorge; Sequeira, Adélia
3
2017
Spatio-temporal models of synthetic genetic oscillators. Zbl 1362.92021
Macnamara, Cicely K.; Chaplain, Mark A. J.
3
2017
Optimal control analysis of malaria-schistosomiasis co-infection dynamics. Zbl 1362.92085
Smith?, Robert; Okosun, Kazeem Oare
3
2017
Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge. Zbl 1362.92064
Li, Juan; Song, Yongzhong; Wan, Hui; Zhu, Huaiping
3
2017
Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects. Zbl 1358.35203
Emerenini, Blessing O.; Sonner, Stefanie; Eberl, Hermann J.
3
2017
Mathematical analysis and dynamic active subspaces for a long term model of HIV. Zbl 1366.92126
Loudon, Tyson; Pankavich, Stephen
3
2017
A note on the global properties of an age-structured viral dynamic model with multiple target cell populations. Zbl 1382.37104
Wang, Shaoli; Wu, Jianhong; Rong, Libin
3
2017
Structural calculations and propagation modeling of growing networks based on continuous degree. Zbl 1364.35385
Jia, Junbo; Jin, Zhen; Chang, Lili; Fu, Xinchu
3
2017
Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network. Zbl 1368.34066
Zhang, Qiuyan; Liu, Lingling; Zhang, Weinian
3
2017
Threshold dynamics of a time periodic and two-group epidemic model with distributed delay. Zbl 1364.35395
Zhao, Lin; Wang, Zhi-Cheng; Zhang, Liang
3
2017
On application of optimal control to SEIR normalized models: pros and cons. Zbl 1351.49054
do Rosário de Pinho, Maria; Nunes Nogueira, Filipa
2
2017
Mathematical modeling of liver fibrosis. Zbl 1348.92079
Friedman, Avner; Hao, Wenrui
2
2017
On drug resistance and metronomic chemotherapy: a mathematical modeling and optimal control approach. Zbl 1351.49049
Ledzewicz, Urszula; Wang, Shuo; Schättler, Heinz; André, Nicolas; Heng, Marie Amélie; Pasquier, Eddy
2
2017
Population models with quasi-constant-yield harvest rates. Zbl 1353.34054
Lan, Kunquan; Lin, Wei
2
2017
Modelling chemistry and biology after implantation of a drug-eluting stent. Part I: drug transport. Zbl 1348.92088
Vo, Tuoi; Lee, William; Peddle, Adam; Meere, Martin
2
2017
Multiplayer games and HIV transmission via casual encounters. Zbl 1348.92040
Tully, Stephen; Cojocaru, Monica-Gabriela; Bauch, Chris T.
2
2017
Modeling environmental transmission of MAP infection in dairy cows. Zbl 1366.92119
De Silva, Kokum R.; Eda, Shigetoshi; Lenhart, Suzanne
2
2017
Flow optimization in vascular networks. Zbl 1366.92033
Cascaval, Radu C.; D’Apice, Ciro; D’Arienzo, Maria Pia; Manzo, Rosanna
2
2017
Mixed vaccination strategy for the control of tuberculosis: a case study in China. Zbl 1366.92125
Liu, Siyu; Li, Yong; Bi, Yingjie; Huang, Qingdao
2
2017
Global dynamics of a vector-host epidemic model with age of infection. Zbl 1365.92119
Dang, Yan-Xia; Qiu, Zhi-Peng; Li, Xue-Zhi; Martcheva, Maia
2
2017
Modeling co-infection of ixodes tick-borne pathogens. Zbl 1365.92125
Lou, Yijun; Liu, Li; Gao, Daozhou
2
2017
On the mathematical modelling of tumor-induced angiogenesis. Zbl 1352.92076
Bonilla, Luis L.; Capasso, Vincenzo; Alvaro, Mariano; Carretero, Manuel; Terragni, Filippo
1
2017
Newton’s method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion. Zbl 1351.60083
Leszczyński, Henryk; Wrzosek, Monika
1
2017
A criterion of collective behavior of bacteria. Zbl 1362.92041
Czapla, Roman; Mityushev, Vladimir V.
1
2017
A male-female mathematical model of human papillomavirus (HPV) in African American population. Zbl 1362.92089
Ziyadi, Najat
1
2017
Global existence and uniqueness of classical solutions for a generalized quasilinear parabolic equation with application to a glioblastoma growth model. Zbl 06646808
Wen, Zijuan; Fan, Meng; Asiri, Asim M.; Alzahrani, Ebraheem O.; El-Dessoky, Mohamed M.; Kuang, Yang
1
2017
Global stability of a multistrain SIS model with superinfection. Zbl 1348.92148
Dénes, Attila; Muroya, Yoshiaki; Röst, Gergely
1
2017
Detecting phase transitions in collective behavior using manifold’s curvature. Zbl 1355.82030
Gajamannage, Kelum; Bollt, Erik M.
1
2017
A numerical framework for computing steady states of structured population models and their stability. Zbl 1364.35018
Mirzaev, Inom; Bortz, David M.
1
2017
Modeling and simulation for toxicity assessment. Zbl 1352.93017
Anton, Cristina; Deng, Jian; Wong, Yau; Zhang, Yile; Zhang, Weiping; Gabos, Stephan; Huang, Dorothy Yu; Jin, Can
1
2017
Global dynamics of a delay virus model with recruitment and saturation effects of immune responses. Zbl 1365.92123
Jiang, Cuicui; Wang, Kaifa; Song, Lijuan
1
2017
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Cited by 5,370 Authors

47 Gumel, Abba B.
41 Teng, Zhi-dong
38 Wang, Jinliang
36 Banks, Harvey Thomas
35 Xiao, Yanni
32 Li, Xuezhi
30 Ruan, Shigui
29 Elaiw, Ahmed M.
29 Martcheva, Maia
28 Wang, Weiming
27 Kuniya, Toshikazu
26 Jin, Zhen
26 Kuang, Yang
26 Wu, Jianhong
26 Xu, Shihe
25 Buonomo, Bruno
23 Bowong, Samuel
23 Chen, Yuming
23 Schättler, Heinz Michael
22 Ledzewicz, Urszula
22 Lenhart, Suzanne M.
22 Liu, Shengqiang
22 Mushayabasa, Steady
22 Nyabadza, Farai
22 Wang, Jin
22 Yang, Junyuan
22 Zhu, Huaiping
21 Chattopadhyay, Joydev
21 Huo, Hai-Feng
21 Qiu, Zhipeng
20 Bhunu, Claver Pedzisai
20 d’Onofrio, Alberto
20 Kang, Yun
20 Takeuchi, Yasuhiro
20 Xu, Rui
20 Zhou, Yicang
20 Zou, Xingfu
19 Cai, Yongli
19 Tchuenche, Jean Michel
19 Wang, Xia
18 Cai, Liming
18 Korobeinikov, Andrei
18 Lou, Yuan
18 Smith?, Robert Joseph
18 Tang, Sanyi
18 Torres, Delfim Fernando Marado
18 Wang, Wendi
17 Ackleh, Azmy S.
17 Cosner, Chris
17 Liu, Xianning
17 Rong, Libin
17 Zhang, Tailei
16 Vargas-De-León, Cruz
16 Wang, Lin
16 Yang, Yu
16 Yu, Jian-She
15 Eberl, Hermann J.
15 Feng, Zhilan
15 Li, Jianquan
15 Lubuma, Jean Mbaro-Saman
15 Nakata, Yukihiko
15 Okuonghae, Daniel
15 Xu, Jinhu
14 Castillo-Chavez, Carlos
14 Enatsu, Yoichi
14 Lacitignola, Deborah
14 Li, Wan-Tong
14 Liu, Junli
14 Sari, Tewfik
14 Yuan, Sanling
14 Zhang, Fengqin
13 Cui, Jingan
13 Misra, Arvind Kumar
13 Pirozzi, Enrica
13 Röst, Gergely
13 Surulescu, Christina
13 van den Driessche, Pauline
13 Webb, Glenn Francis
12 Browne, Cameron J.
12 Eftimie, Raluca
12 Hattaf, Khalid
12 Kar, Tapan Kumar
12 Li, Xiaodi
12 Mugisha, Joseph Y. T.
12 Muroya, Yoshiaki
12 Samanta, Sudip K.
12 Sharomi, Oluwaseun Y.
12 Song, Xinyu
12 Venturino, Ezio
12 Wang, Kaifa
11 Bai, Meng
11 Banerjee, Malay
11 Cantrell, Robert Stephen
11 Huang, Gang
11 Lam, King-Yeung
11 Li, Jia
11 Liu, Maoxing
11 Lou, Yijun
11 Lutscher, Frithjof
11 Mukandavire, Zindoga
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Cited in 330 Journals

233 Mathematical Biosciences and Engineering
224 Journal of Theoretical Biology
201 Mathematical Biosciences
194 Bulletin of Mathematical Biology
166 Journal of Mathematical Biology
153 Applied Mathematics and Computation
144 Journal of Biological Dynamics
142 Discrete and Continuous Dynamical Systems. Series B
122 Nonlinear Analysis. Real World Applications
108 International Journal of Biomathematics
80 Journal of Mathematical Analysis and Applications
70 Applied Mathematical Modelling
65 Advances in Difference Equations
60 Chaos, Solitons and Fractals
59 Abstract and Applied Analysis
59 Discrete Dynamics in Nature and Society
56 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
55 Communications in Nonlinear Science and Numerical Simulation
52 Journal of Biological Systems
51 Journal of Differential Equations
50 Mathematical Methods in the Applied Sciences
46 Mathematical Modelling of Natural Phenomena
45 Computational & Mathematical Methods in Medicine
39 SIAM Journal on Applied Mathematics
32 Complexity
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31 Computers & Mathematics with Applications
30 Ricerche di Matematica
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29 Nonlinear Dynamics
29 Journal of Applied Mathematics
29 Journal of Applied Analysis and Computation
28 Theoretical Population Biology
28 Chaos
27 Journal of Applied Mathematics and Computing
26 Computational and Applied Mathematics
25 Applied Mathematics Letters
25 Mathematical and Computer Modelling
25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
23 Journal of the Franklin Institute
22 Mathematics and Computers in Simulation
20 International Journal of Applied and Computational Mathematics
19 Acta Applicandae Mathematicae
18 Physica A
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18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Discrete and Continuous Dynamical Systems
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16 Discrete and Continuous Dynamical Systems. Series S
14 Applicable Analysis
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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13 Mathematical Problems in Engineering
12 Journal of Computational Physics
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10 SIAM Journal on Applied Dynamical Systems
9 International Journal of Mathematics and Mathematical Sciences
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8 ISRN Biomathematics
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6 Calculus of Variations and Partial Differential Equations
6 Methodology and Computing in Applied Probability
6 International Journal of Nonlinear Sciences and Numerical Simulation
6 Networks and Heterogeneous Media
6 Journal of Nonlinear Science and Applications
6 Mathematics
5 International Journal of Control
5 Journal of Engineering Mathematics
5 Rocky Mountain Journal of Mathematics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Dynamical and Control Systems
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Nonlinear Analysis. Hybrid Systems
5 Kinetic and Related Models
5 Cogent Mathematics
4 Computer Methods in Applied Mechanics and Engineering
4 Proceedings of the American Mathematical Society
4 Quarterly of Applied Mathematics
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4 European Journal of Applied Mathematics
4 Neural Computation
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