## Lizana, Marcos

Compute Distance To:
 Author ID: lizana.marcos Published as: Lizana, Marcos; Lizana, M.
 Documents Indexed: 26 Publications since 1986 Reviewing Activity: 160 Reviews Co-Authors: 14 Co-Authors with 20 Joint Publications 117 Co-Co-Authors
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### Co-Authors

 6 single-authored 7 Duque, Cosme 2 Acosta, Antonio J. 2 Carrero, Gustavo 2 Muldowney, James S. 2 Uzcátegui, Jahnett 1 Cavani, Mario 1 Contreras, José Luis 1 Kiss, Krisztina 1 Marín V., Julio J. 1 Marin, Julio César Sándor Barand 1 Niño, L. 1 Padrón, Víctor 1 Rivero, Jesus M. 1 Smith, Hal Leslie
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### Serials

 4 Notas de Matemática 3 Journal of Mathematical Analysis and Applications 3 Divulgaciones Matemáticas 2 Journal of Mathematical Biology 2 Applied Mathematics and Computation 2 The Canadian Applied Mathematics Quarterly 1 Periodica Mathematica Hungarica 1 Archivum Mathematicum 1 Acta Mathematica Hungarica 1 Differential Equations and Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Nonlinear Analysis. Theory, Methods & Applications

### Fields

 18 Ordinary differential equations (34-XX) 13 Biology and other natural sciences (92-XX) 7 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX)

### Citations contained in zbMATH Open

16 Publications have been cited 96 times in 84 Documents Cited by Year
Multiparametric bifurcations for a model in epidemiology. Zbl 0868.92024
Lizana, Marcos; Rivero, Jesus
1996
On the dynamics of an $$n$$-dimensional ratio-dependent predator-prey system with diffusion. Zbl 1155.92037
Duque, Cosme; Kiss, Krisztina; Lizana, Marcos
2009
On the dynamics of a predator-prey model with nonconstant death rate and diffusion. Zbl 1219.35125
Duque, Cosme; Lizana, Marcos
2011
Stable periodic orbits for a predator-prey model with delay. Zbl 0997.92035
Cavani, Mario; Lizana, Marcos; Smith, Hal L.
2000
Homoclinic bifurcation in a predator-prey model. Zbl 0915.34028
Lizana, M.; Niño, L.
1997
A spatially discrete model for aggregating populations. Zbl 1037.92043
1999
Partial characterization of the global dynamic of a predator-prey model with non constant mortality rate. Zbl 1200.92041
Duque, Cosme; Lizana, Marcos
2009
Patterns formation in a SIS epidemiological model. Zbl 1079.92057
Carrero, Gustavo; Lizana, Marcos
2003
Global asymptotic stability of a ratio dependent predator prey system with diffusion and delay. Zbl 1206.92046
Duque, Cosme; Lizana, Marcos
2008
Global analysis of the sunflower equation with small delay. Zbl 0923.34066
Lizana, Marcos
1999
Spectral conditions for a dichotomy. Zbl 0919.34014
Lizana, Marcos; Muldowney, James
1998
Riccati differential inequalities and dichotomies for linear systems. Zbl 1017.34055
Lizana, Marcos; Muldowney, James
2002
Existence and partial characterization of the global attractor for the sunflower equation. Zbl 0831.34056
Lizana, Marcos
1995
Stable periodic traveling waves for a predator-prey model with non-constant death rate and delay. Zbl 1225.45004
Duque, Cosme; Lizana, Marcos
2011
On the dynamics of a ratio dependent predator-prey system with diffusion and delay. Zbl 1104.92063
Lizana, Marcos; Marín, Julio
2006
Hopf bifurcation for the equation $$\ddot x(t) + f (x(t))\dot x(t) + g(x (t-r))=0$$. Zbl 1106.34047
Acosta, Antonio; Lizana, Marcos
2005
On the dynamics of a predator-prey model with nonconstant death rate and diffusion. Zbl 1219.35125
Duque, Cosme; Lizana, Marcos
2011
Stable periodic traveling waves for a predator-prey model with non-constant death rate and delay. Zbl 1225.45004
Duque, Cosme; Lizana, Marcos
2011
On the dynamics of an $$n$$-dimensional ratio-dependent predator-prey system with diffusion. Zbl 1155.92037
Duque, Cosme; Kiss, Krisztina; Lizana, Marcos
2009
Partial characterization of the global dynamic of a predator-prey model with non constant mortality rate. Zbl 1200.92041
Duque, Cosme; Lizana, Marcos
2009
Global asymptotic stability of a ratio dependent predator prey system with diffusion and delay. Zbl 1206.92046
Duque, Cosme; Lizana, Marcos
2008
On the dynamics of a ratio dependent predator-prey system with diffusion and delay. Zbl 1104.92063
Lizana, Marcos; Marín, Julio
2006
Hopf bifurcation for the equation $$\ddot x(t) + f (x(t))\dot x(t) + g(x (t-r))=0$$. Zbl 1106.34047
Acosta, Antonio; Lizana, Marcos
2005
Patterns formation in a SIS epidemiological model. Zbl 1079.92057
Carrero, Gustavo; Lizana, Marcos
2003
Riccati differential inequalities and dichotomies for linear systems. Zbl 1017.34055
Lizana, Marcos; Muldowney, James
2002
Stable periodic orbits for a predator-prey model with delay. Zbl 0997.92035
Cavani, Mario; Lizana, Marcos; Smith, Hal L.
2000
A spatially discrete model for aggregating populations. Zbl 1037.92043
1999
Global analysis of the sunflower equation with small delay. Zbl 0923.34066
Lizana, Marcos
1999
Spectral conditions for a dichotomy. Zbl 0919.34014
Lizana, Marcos; Muldowney, James
1998
Homoclinic bifurcation in a predator-prey model. Zbl 0915.34028
Lizana, M.; Niño, L.
1997
Multiparametric bifurcations for a model in epidemiology. Zbl 0868.92024
Lizana, Marcos; Rivero, Jesus
1996
Existence and partial characterization of the global attractor for the sunflower equation. Zbl 0831.34056
Lizana, Marcos
1995
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### Cited by 155 Authors

 5 Liu, Zijian 5 Lizana, Marcos 5 Wang, Wendi 4 Kiss, Krisztina 3 Duque, Cosme 3 Ruan, Shigui 3 Yang, Wensheng 3 Zhao, Min 3 Zhong, Shou-Ming 2 Aly, Shaban A. H. 2 Berezansky, Leonid M. 2 Bhattacharyya, Rakhi 2 Braverman, Elena 2 Chen, Lansun 2 Chen, Wufan 2 Dai, Chuanjun 2 Hussien, Fatma 2 Idels, Lev V. 2 Jin, Zhan 2 Lei, Chengxia 2 Li, Weigu 2 Li, Xuepeng 2 Liu, Xia 2 Liu, Xianning 2 Meng, Xinzhu 2 Mukhopadhyay, Banibrata 2 Padrón, Víctor 2 Saker, Samir H. 2 Tang, Yilei 2 Yang, Ruizhi 2 Yin, Chun 2 Zhang, Tonghua 2 Zhang, Tongqian 2 Zhang, Xinhong 1 Abdella, Kenzu 1 Agarwal, Ravi P. 1 Avusuglo, Wisdom S. 1 Balázsi, László 1 Bhatia, Sumit Kaur 1 Bi, Ping 1 Bisconti, Luca 1 Bottazzi, Emanuele 1 Cai, Yongli 1 Castillo-Chavez, Carlos 1 Cavani, Mario 1 Chauhan, Sudipa 1 Chen, Weijun 1 Chen, Yujuan 1 Cheng, Zhibo 1 Ding, Minmin 1 Eberl, Hermann J. 1 Elabbasy, Elmetwally M. 1 Elettreby, Mohamed F. 1 Esedoglu, Selim 1 Fang, Chengling 1 Farghaly, Ahmed A. M. 1 Farkas, Miklós 1 Feng, Wenying 1 Fu, Shengmao 1 Gao, Yixian 1 Greer, John B. 1 Guin, Lakshmi Narayan 1 Guo, Peng 1 Guo, Qing 1 Gupta, Surbhi 1 Hagen, Thomas C. 1 Han, Shuyu 1 Herrera, E. Díaz 1 Hethcote, Herbert W. 1 Horstmann, Dirk 1 Huang, Jicai 1 Jiang, Daqing 1 Jin, Yu 1 Kim, Imbunm 1 Kovacs, Sandor 1 Kuniya, Toshikazu 1 Li, Changpin 1 Li, Fujun 1 Li, Huaixing 1 Li, Junyu 1 Li, Lin 1 Li, Xinxin 1 Li, Yan 1 Li, Yi 1 Li, Yongkun 1 Liao, Maoxin 1 Liu, Dan 1 Liu, He 1 Liu, Jiang 1 Liu, Ping 1 Liu, Sanyang 1 Liu, Shengqiang 1 Liu, Xiaoyun 1 Liu, Zhuojun 1 López Fenner, Julio 1 Lu, Min 1 Ma, Mingju 1 Ma, Zengling 1 Ma, Zhanping 1 Mahemuti, Rouzimaimaiti ...and 55 more Authors
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### Cited in 44 Serials

 7 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Computation 6 Nonlinear Analysis. Real World Applications 5 Differential Equations and Dynamical Systems 4 Journal of Differential Equations 3 Computers & Mathematics with Applications 3 Chaos, Solitons and Fractals 3 Journal of Applied Mathematics and Computing 2 Journal of the Franklin Institute 2 Mathematical Biosciences 2 Physica A 2 Physica D 2 Applied Mathematics Letters 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Biosciences and Engineering 2 International Journal of Biomathematics 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Mathematical and Computer Modelling 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Filomat 1 Complexity 1 Nonlinear Dynamics 1 Journal of Biological Systems 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 Journal of Biological Dynamics 1 Afrika Matematika 1 Iranian Journal of Mathematical Sciences and Informatics 1 Journal of Applied Analysis and Computation 1 International Journal of Applied and Computational Mathematics
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### Cited in 16 Fields

 69 Biology and other natural sciences (92-XX) 46 Ordinary differential equations (34-XX) 28 Partial differential equations (35-XX) 11 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 4 Numerical analysis (65-XX) 4 Fluid mechanics (76-XX) 4 Systems theory; control (93-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX)