Valenzuela-Figueroa, Sebastián; González-Olivares, Eduardo; Rojas-Palma, Alejandro Influence of the weak Allee effect on prey in a Leslie-Gower type predation model with sigmoid functional response. (Spanish. English summary) Zbl 1513.92059 Rev. Mat. Teor. Apl. 29, No. 1, 105-138 (2022). MSC: 92D25 34C23 34C60 37G15 PDFBibTeX XMLCite \textit{S. Valenzuela-Figueroa} et al., Rev. Mat. Teor. Apl. 29, No. 1, 105--138 (2022; Zbl 1513.92059) Full Text: DOI
Grines, V. Z.; Lerman, L. M. Nonautonomous vector fields on \(S^3\): simple dynamics and wild embedding of separatrices. (English. Russian original) Zbl 1516.37030 Theor. Math. Phys. 212, No. 1, 903-917 (2022); translation from Teor. Mat. Fiz. 212, No. 1, 15-32 (2022). MSC: 37C60 37C10 37C05 37C20 37C15 37C65 PDFBibTeX XMLCite \textit{V. Z. Grines} and \textit{L. M. Lerman}, Theor. Math. Phys. 212, No. 1, 903--917 (2022; Zbl 1516.37030); translation from Teor. Mat. Fiz. 212, No. 1, 15--32 (2022) Full Text: DOI arXiv
Gonzalez-Olivares, Eduardo; Rojas-Palma, Alejandro Global stability in a modified Leslie-Gower type predation model assuming mutual interference among generalist predators. (English) Zbl 1471.92253 Math. Biosci. Eng. 17, No. 6, 7708-7731 (2020). Reviewer: Minh Van Nguyen (Little Rock) MSC: 92D25 34C05 34D23 PDFBibTeX XMLCite \textit{E. Gonzalez-Olivares} and \textit{A. Rojas-Palma}, Math. Biosci. Eng. 17, No. 6, 7708--7731 (2020; Zbl 1471.92253) Full Text: DOI
González-Olivares, Eduardo; Arancibia-Ibarra, Claudio; Rojas-Palma, Alejandro; González-Yañez, Betsabé Bifurcations and multistability on the May-Holling-Tanner predation model considering alternative food for the predators. (English) Zbl 1497.92200 Math. Biosci. Eng. 16, No. 5, 4274-4298 (2019). MSC: 92D25 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Math. Biosci. Eng. 16, No. 5, 4274--4298 (2019; Zbl 1497.92200) Full Text: DOI
González-Olivares, Eduardo; Arancibia-Ibarra, Claudio; Rojas-Palma, Alejandro; González-Yañez, Betsabé Dynamics of a modified Leslie-Gower predation model considering a generalist predator and the hyperbolic functional response. (English) Zbl 1472.92176 Math. Biosci. Eng. 16, No. 6, 7995-8024 (2019). Reviewer: Ábel Garab (Szeged) MSC: 92D25 34C60 34C23 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Math. Biosci. Eng. 16, No. 6, 7995--8024 (2019; Zbl 1472.92176) Full Text: DOI
Vilches, Karina; González-Olivares, Eduardo; Rojas-Palma, Alejandro Prey herd behavior modeled by a generic non-differentiable functional response. (English) Zbl 1405.92241 Math. Model. Nat. Phenom. 13, No. 3, Paper No. 26, 24 p. (2018). MSC: 92D25 34C23 PDFBibTeX XMLCite \textit{K. Vilches} et al., Math. Model. Nat. Phenom. 13, No. 3, Paper No. 26, 24 p. (2018; Zbl 1405.92241) Full Text: DOI
González-Olivares, Eduardo; Rojas-Palma, Alejandro; González-Yañez, Betsabé Multiple limit cycles in a Leslie-Gower-type predator-prey model considering weak Allee effect on prey. (English) Zbl 1416.92136 Nonlinear Anal., Model. Control 22, No. 3, 347-365 (2017). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Nonlinear Anal., Model. Control 22, No. 3, 347--365 (2017; Zbl 1416.92136) Full Text: DOI
Sakharov, A. N.; Shilovskaya, A. A. Morse-Smale flows and the models of the topology of magnetic fields in plasma. (Russian. English summary) Zbl 1399.37049 Zh. Sredn. Mat. Obshch. 19, No. 1, 88-101 (2017). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37N15 76W05 37D15 PDFBibTeX XMLCite \textit{A. N. Sakharov} and \textit{A. A. Shilovskaya}, Zh. Sredn. Mat. Obshch. 19, No. 1, 88--101 (2017; Zbl 1399.37049)
Chiralt, Cristina; Ferragut, Antoni; Gasull, Armengol; Vindel, Pura Quantitative analysis of competition models. (English) Zbl 1376.34046 Nonlinear Anal., Real World Appl. 38, 327-347 (2017). MSC: 34C60 92D25 34D05 34C05 PDFBibTeX XMLCite \textit{C. Chiralt} et al., Nonlinear Anal., Real World Appl. 38, 327--347 (2017; Zbl 1376.34046) Full Text: DOI Link
Flores, José D.; González-Olivares, Eduardo A modified Leslie-Gower predator-prey model with ratio-dependent functional response and alternative food for the predator. (English) Zbl 1362.92060 Math. Methods Appl. Sci. 40, No. 7, 2313-2328 (2017). MSC: 92D25 34C23 PDFBibTeX XMLCite \textit{J. D. Flores} and \textit{E. González-Olivares}, Math. Methods Appl. Sci. 40, No. 7, 2313--2328 (2017; Zbl 1362.92060) Full Text: DOI
Kolomiec, M. I.; Sakharov, A. N.; Tregubova, E. V. On the topology of the potential magnetic field. (Russian. English summary) Zbl 1374.37035 Zh. Sredn. Mat. Obshch. 18, No. 1, 31-44 (2016). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37C20 37C05 37C75 37C70 37C29 PDFBibTeX XMLCite \textit{M. I. Kolomiec} et al., Zh. Sredn. Mat. Obshch. 18, No. 1, 31--44 (2016; Zbl 1374.37035)
González-Olivares, Eduardo; Flores, José D. Consequences of multiple Allee effect in an open access fishery model. (English) Zbl 1343.92410 J. Biol. Syst. 23, Suppl. 1, S101-S121 (2015). MSC: 92D25 91B76 PDFBibTeX XMLCite \textit{E. González-Olivares} and \textit{J. D. Flores}, J. Biol. Syst. 23, S101--S121 (2015; Zbl 1343.92410) Full Text: DOI
González-Olivares, Eduardo; Tintinago-Ruiz, Paulo C.; Rojas-Palma, Alejandro A Leslie-Gower-type predator-prey model with sigmoid functional response. (English) Zbl 1351.92041 Int. J. Comput. Math. 92, No. 9, 1895-1909 (2015). MSC: 92D25 34C23 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Int. J. Comput. Math. 92, No. 9, 1895--1909 (2015; Zbl 1351.92041) Full Text: DOI
Tintinago-Ruíz, Paulo C.; Restrepo-Alape, Leonardo D.; González-Olivares, Eduardo Consequences of weak Allee effect in a Leslie-Gower-type predator-prey model with a generalized Holling type III functional response. (English) Zbl 1345.92124 Tost, Gerard Olivar (ed.) et al., Analysis, modelling, optimization, and numerical techniques. ICAMI, San Andres Island, Colombia, November 2013. Cham: Springer (ISBN 978-3-319-12582-4/hbk; 978-3-319-12583-1/ebook). Springer Proceedings in Mathematics & Statistics 121, 89-103 (2015). MSC: 92D25 34C07 PDFBibTeX XMLCite \textit{P. C. Tintinago-Ruíz} et al., Springer Proc. Math. Stat. 121, 89--103 (2015; Zbl 1345.92124) Full Text: DOI
Sáez, Eduardo; Stange, Eduardo; Szántó, Iván; González-Olivares, Eduardo; Falconi, Manuel Chaotic dynamics and coexistence in a three species interaction model. (English) Zbl 1328.92066 Int. J. Biomath. 8, No. 2, Article ID 1550022, 25 p. (2015). MSC: 92D25 34D35 37D45 PDFBibTeX XMLCite \textit{E. Sáez} et al., Int. J. Biomath. 8, No. 2, Article ID 1550022, 25 p. (2015; Zbl 1328.92066) Full Text: DOI
González-Olivares, E.; Rojas-Palma, A. Allee effect in Gause type predator-prey models: existence of multiple attractors, limit cycles and separatrix curves. A brief review. (English) Zbl 1285.92024 Math. Model. Nat. Phenom. 8, No. 6, 143-164 (2013). MSC: 92D40 37N25 34C60 PDFBibTeX XMLCite \textit{E. González-Olivares} and \textit{A. Rojas-Palma}, Math. Model. Nat. Phenom. 8, No. 6, 143--164 (2013; Zbl 1285.92024) Full Text: DOI Link
González-Olivares, Eduardo; Meneses-Alcay, Héctor; González-Yañez, Betsabé; Mena-Lorca, Jaime; Rojas-Palma, Alejandro; Ramos-Jiliberto, Rodrigo Corrigendum to: “Multiple stability and uniqueness of the limit cycle in a Gause-type predator-prey model considering the Allee effect on prey”. (English) Zbl 1254.34047 Nonlinear Anal., Real World Appl. 14, No. 1, 888-891 (2013). MSC: 34C05 92D25 34C23 34C37 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Nonlinear Anal., Real World Appl. 14, No. 1, 888--891 (2013; Zbl 1254.34047) Full Text: DOI
Câmara, Leonardo; Scárdua, Bruno A Fatou type theorem for complex map germs. (English) Zbl 1271.32034 Conform. Geom. Dyn. 16, 256-268 (2012). MSC: 32S65 37F99 32H50 37F75 37F10 PDFBibTeX XMLCite \textit{L. Câmara} and \textit{B. Scárdua}, Conform. Geom. Dyn. 16, 256--268 (2012; Zbl 1271.32034) Full Text: DOI
González-Olivares, Eduardo; Mena-Lorca, Jaime; Rojas-Palma, Alejandro; Flores, José D. Erratum to “Dynamical complexities in the Leslie-gower predator-prey model as consequences of the Allee effect on prey”. (English) Zbl 1236.34057 Appl. Math. Modelling 36, No. 2, 860-862 (2012). MSC: 34C23 92D25 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Appl. Math. Modelling 36, No. 2, 860--862 (2012; Zbl 1236.34057) Full Text: DOI
González-Olivares, Eduardo; González-Yañez, Betsabé; Lorca, Jaime Mena; Rojas-Palma, Alejandro; Flores, José D. Consequences of double Allee effect on the number of limit cycles in a predator-prey model. (English) Zbl 1236.34067 Comput. Math. Appl. 62, No. 9, 3449-3463 (2011). MSC: 34C60 37N25 92D25 34C37 PDFBibTeX XMLCite \textit{E. González-Olivares} et al., Comput. Math. Appl. 62, No. 9, 3449--3463 (2011; Zbl 1236.34067) Full Text: DOI
González-Olivares, Eduardo; Rojas-Palma, Alejandro Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey. (English) Zbl 1215.92061 Bull. Math. Biol. 73, No. 6, 1378-1397 (2011). MSC: 92D40 34C05 34C60 PDFBibTeX XMLCite \textit{E. González-Olivares} and \textit{A. Rojas-Palma}, Bull. Math. Biol. 73, No. 6, 1378--1397 (2011; Zbl 1215.92061) Full Text: DOI
Corral, Nuria; Fernández-Sánchez, Percy Isolated invariant curves of a foliation. (English) Zbl 1092.32016 Proc. Am. Math. Soc. 134, No. 4, 1125-1132 (2006). Reviewer: Carlos Galindo (Castellon) MSC: 32S65 37F75 PDFBibTeX XMLCite \textit{N. Corral} and \textit{P. Fernández-Sánchez}, Proc. Am. Math. Soc. 134, No. 4, 1125--1132 (2006; Zbl 1092.32016) Full Text: DOI
Si, Chengbin; Shen, Boqian A necessary and sufficient condition for the coexistence of a class of cubic curve separatrix cycles and limit cycles to the cubic system. (English) Zbl 1070.34047 Ann. Differ. Equations 19, No. 2, 195-201 (2003). Reviewer: Iliya Iliev (Sofia) MSC: 34C05 34C37 PDFBibTeX XMLCite \textit{C. Si} and \textit{B. Shen}, Ann. Differ. Equations 19, No. 2, 195--201 (2003; Zbl 1070.34047)
Risler, Jean-Jacques Invariant curves and topological invariants for real plane analytic vector fields. (English) Zbl 0990.37014 J. Differ. Equations 172, No. 1, 212-226 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37C15 34C08 58K65 14P15 PDFBibTeX XMLCite \textit{J.-J. Risler}, J. Differ. Equations 172, No. 1, 212--226 (2001; Zbl 0990.37014) Full Text: DOI Link
Li, Xuepeng A kind of two-parameter cubic curve family defined by a quadratic system. (Chinese) Zbl 0947.34035 Chin. Ann. Math., Ser. A 19, No. 6, 677-688 (1998). Reviewer: Ye Yanqian (Nanjing) MSC: 34C37 35C05 PDFBibTeX XMLCite \textit{X. Li}, Chin. Ann. Math., Ser. A 19, No. 6, 677--688 (1998; Zbl 0947.34035)
Gelfreich, V. G. Conjugation to a shift and the splitting of invariant manifolds. (English) Zbl 0866.34041 Appl. Math. 24, No. 2, 127-140 (1996). MSC: 39A10 34A37 37G05 30D05 PDFBibTeX XMLCite \textit{V. G. Gelfreich}, Appl. Math. 24, No. 2, 127--140 (1996; Zbl 0866.34041) Full Text: DOI EuDML
Priest, E. R. On the nature of 3D reconnection. (English) Zbl 0881.76111 Meneguzzi, Maurice (ed.) et al., Small-scale structures in three-dimensional hydrodynamic and magnetohydrodynamic turbulence. Proceedings of a workshop, Nice, France, 10-13 January, 1995. Berlin: Springer-Verlag. Lect. Notes Phys. 462, 303-317 (1995). Reviewer: V.S.Titov (Pereslavl’-Zalesskij) MSC: 76W05 76-02 PDFBibTeX XMLCite \textit{E. R. Priest}, Lect. Notes Phys. 462, 303--317 (1995; Zbl 0881.76111)
Si, Chengbin; Shen, Boqian A necessary and sufficient condition for the existence of a class of quartic curve separatrix cycles in a quadratic system. (Chinese. English summary) Zbl 0883.34053 J. Math. Res. Expo. 15, No. 2, 261-266 (1995). MSC: 34C37 PDFBibTeX XMLCite \textit{C. Si} and \textit{B. Shen}, J. Math. Res. Expo. 15, No. 2, 261--266 (1995; Zbl 0883.34053)
Liang, Zhaojun Several problems on the global analysis of polynomial differential systems. (English) Zbl 0909.34028 J. Cent. China Norm. Univ., Nat. Sci. 25, No. 2, 137-149 (1991). Reviewer: Ye Yanqian (Nanjing) MSC: 34C05 PDFBibTeX XMLCite \textit{Z. Liang}, J. Cent. China Norm. Univ., Nat. Sci. 25, No. 2, 137--149 (1991; Zbl 0909.34028)
Shen, Poqian A necessary and sufficient condition for the existence of cubic curve separatrix cycles by a bow form in a quadratic system. (Chinese. English summary) Zbl 0859.34020 Pure Appl. Math. 6, No. 2, 94-96 (1990). MSC: 34C05 PDFBibTeX XMLCite \textit{P. Shen}, Pure Appl. Math. 6, No. 2, 94--96 (1990; Zbl 0859.34020)
Belykh, V. N. Bifurcation of separatrices of a saddle point of the Lorentz system. (English. Russian original) Zbl 0576.34027 Differ. Equations 20, 1184-1191 (1984); translation from Differ. Uravn. 20, No. 10, 1666-1674 (1984). Reviewer: G.Bojadziev MSC: 34C05 37-XX PDFBibTeX XMLCite \textit{V. N. Belykh}, Differ. Equations 20, 1184--1191 (1984; Zbl 0576.34027); translation from Differ. Uravn. 20, No. 10, 1666--1674 (1984)