## Mena-Lorca, Jaime

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 Author ID: mena-lorca.jaime Published as: Mena-Lorca, Jaime; Lorca, Jaime Mena
 Documents Indexed: 11 Publications since 1992 Co-Authors: 11 Co-Authors with 11 Joint Publications 259 Co-Co-Authors
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### Co-Authors

 0 single-authored 6 González-Olivares, Eduardo 5 Rojas-Palma, Alejandro 4 Flores, José D. 4 Gonzalez-Yañez, Betsabe 3 Hethcote, Herbert W. 2 Gao, Linda Q. 2 Meneses-Alcay, Héctor 2 Ramos-Jiliberto, Rodrigo 2 Velasco-Hernandez, Jorge X. 1 Castillo-Chavez, Carlos 1 Marquet, Pablo A.
all top 5

### Serials

 2 Mathematical Biosciences 2 Applied Mathematical Modelling 2 Nonlinear Analysis. Real World Applications 1 Computers & Mathematics with Applications 1 Journal of Mathematical Biology 1 IMA Journal of Mathematics Applied in Medicine and Biology 1 Mathematical Biosciences and Engineering

### Fields

 11 Ordinary differential equations (34-XX) 11 Biology and other natural sciences (92-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

9 Publications have been cited 274 times in 243 Documents Cited by Year
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
1992
Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey. Zbl 1202.34079
González-Olivares, Eduardo; Mena-Lorca, Jaime; Rojas-Palma, Alejandro; Flores, José D.
2011
Four SEI endemic models with periodicity and separatrices. Zbl 0834.92021
Gao, Linda Q.; Mena-Lorca, Jaime; Hethcote, Herbert W.
1995
Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey. Zbl 1231.34053
González-Olivares, Eduardo; Meneses-Alcay, Héctor; González-Yañez, Betsabé; Mena-Lorca, Jaime; Rojas-Palma, Alejandro; Ramos-Jiliberto, Rodrigo
2011
Consequences of double Allee effect on the number of limit cycles in a predator-prey model. Zbl 1236.34067
González-Olivares, Eduardo; González-Yañez, Betsabé; Lorca, Jaime Mena; Rojas-Palma, Alejandro; Flores, José D.
2011
Density-dependent dynamics and superinfection in an epidemic model. Zbl 0937.92028
Mena-Lorca, Jaime; Velasco-Hernandez, Jorge X.; Castillo-Chavez, Carlos
1999
Uniqueness of limit cycles and multiple attractors in a Gause-type predator-prey model with nonmonotonic functional response and Allee effect on prey. Zbl 1260.92113
González-Olivares, Eduardo; González-Yañez, Betsabé; Mena-Lorca, Jaime; Flores, José D.
2013
Variations on a theme of SEI endemic models. Zbl 0920.92026
Gao, Linda Q.; Mena-Lorca, Jaime; Hethcote, Herbert W.
1996
Coexistence in metacommunities: a three-species model. Zbl 1098.92068
Mena-Lorca, Jaime; Velasco-Hernández, Jorge X.; Marquet, Pablo A.
2006
Uniqueness of limit cycles and multiple attractors in a Gause-type predator-prey model with nonmonotonic functional response and Allee effect on prey. Zbl 1260.92113
González-Olivares, Eduardo; González-Yañez, Betsabé; Mena-Lorca, Jaime; Flores, José D.
2013
Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey. Zbl 1202.34079
González-Olivares, Eduardo; Mena-Lorca, Jaime; Rojas-Palma, Alejandro; Flores, José D.
2011
Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey. Zbl 1231.34053
González-Olivares, Eduardo; Meneses-Alcay, Héctor; González-Yañez, Betsabé; Mena-Lorca, Jaime; Rojas-Palma, Alejandro; Ramos-Jiliberto, Rodrigo
2011
Consequences of double Allee effect on the number of limit cycles in a predator-prey model. Zbl 1236.34067
González-Olivares, Eduardo; González-Yañez, Betsabé; Lorca, Jaime Mena; Rojas-Palma, Alejandro; Flores, José D.
2011
Coexistence in metacommunities: a three-species model. Zbl 1098.92068
Mena-Lorca, Jaime; Velasco-Hernández, Jorge X.; Marquet, Pablo A.
2006
Density-dependent dynamics and superinfection in an epidemic model. Zbl 0937.92028
Mena-Lorca, Jaime; Velasco-Hernandez, Jorge X.; Castillo-Chavez, Carlos
1999
Variations on a theme of SEI endemic models. Zbl 0920.92026
Gao, Linda Q.; Mena-Lorca, Jaime; Hethcote, Herbert W.
1996
Four SEI endemic models with periodicity and separatrices. Zbl 0834.92021
Gao, Linda Q.; Mena-Lorca, Jaime; Hethcote, Herbert W.
1995
Dynamic models of infectious diseases as regulators of population sizes. Zbl 0748.92012
Mena-Lorca, Jaime; Hethcote, Herbert W.
1992
all top 5

### Cited by 439 Authors

 22 Mathematical Biosciences 21 Nonlinear Analysis. Real World Applications 10 Chaos, Solitons and Fractals 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 9 Journal of Mathematical Biology 9 Applied Mathematics and Computation 9 Mathematical and Computer Modelling 8 Bulletin of Mathematical Biology 7 Mathematical Methods in the Applied Sciences 7 Applied Mathematical Modelling 7 Abstract and Applied Analysis 6 Discrete Dynamics in Nature and Society 5 Computers & Mathematics with Applications 5 Theoretical Population Biology 5 Discrete and Continuous Dynamical Systems. Series B 5 Advances in Difference Equations 4 Journal of Differential Equations 4 Mathematics and Computers in Simulation 4 Applied Mathematics Letters 4 Journal of Biological Systems 4 Mathematical Biosciences and Engineering 3 Journal of Mathematical Analysis and Applications 3 Rocky Mountain Journal of Mathematics 3 Nonlinear Dynamics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Dynamics and Differential Equations 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Nonlinear Analysis. Modelling and Control 2 Journal of Applied Mathematics and Computing 2 Journal of Biological Dynamics 2 Nonlinear Analysis. Hybrid Systems 2 Mathematical Modelling of Natural Phenomena 2 International Journal of Biomathematics 2 Journal of Applied Analysis and Computation 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Economics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Fractals 1 Random Operators and Stochastic Equations 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Chaos 1 Communications of the Korean Mathematical Society 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Far East Journal of Dynamical Systems 1 Dynamical Systems 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Entropy 1 SIAM Journal on Applied Dynamical Systems 1 Communications in Theoretical Physics 1 Science China. Mathematics 1 Journal of Applied Mathematics & Informatics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Theoretical Biology 1 Arabian Journal of Mathematics 1 Journal of Applied Nonlinear Dynamics 1 Journal of Mathematical Modeling 1 Computational Methods for Differential Equations 1 AIMS Mathematics