Ducrot, Arnaud; Kang, Hao; Magal, Pierre A short proof for Hopf bifurcation in Gurtin-MacCamy’s population dynamics model. (English) Zbl 1514.92083 Proc. Am. Math. Soc. 151, No. 8, 3561-3575 (2023). MSC: 92D25 35B32 47D62 PDFBibTeX XMLCite \textit{A. Ducrot} et al., Proc. Am. Math. Soc. 151, No. 8, 3561--3575 (2023; Zbl 1514.92083) Full Text: DOI arXiv
Ducrot, Arnaud; Liu, Zhihua; Magal, Pierre Large speed traveling waves for the Rosenzweig-MacArthur predator-prey model with spatial diffusion. (English) Zbl 1500.34026 Physica D 415, Article ID 132730, 14 p. (2021). Reviewer: Minh Van Nguyen (Little Rock) MSC: 34C05 34C37 92D25 35C07 34C45 PDFBibTeX XMLCite \textit{A. Ducrot} et al., Physica D 415, Article ID 132730, 14 p. (2021; Zbl 1500.34026) Full Text: DOI arXiv
Magal, Pierre; Seydi, Ousmane Variation of constants formula and exponential dichotomy for nonautonomous non-densely defined Cauchy problems. (English) Zbl 1496.34096 Can. J. Math. 73, No. 5, 1347-1389 (2021). Reviewer: Nikita V. Artamonov (Moskva) MSC: 34G10 34A12 34D09 47D06 35A01 37C60 PDFBibTeX XMLCite \textit{P. Magal} and \textit{O. Seydi}, Can. J. Math. 73, No. 5, 1347--1389 (2021; Zbl 1496.34096) Full Text: DOI arXiv
Hsu, Sze-Bi; Liu, Zhihua; Magal, Pierre A Holling predator-prey model with handling and searching predators. (English) Zbl 1450.34033 SIAM J. Appl. Math. 80, No. 4, 1778-1795 (2020). MSC: 34C60 34C05 34D05 34D20 92D25 PDFBibTeX XMLCite \textit{S.-B. Hsu} et al., SIAM J. Appl. Math. 80, No. 4, 1778--1795 (2020; Zbl 1450.34033) Full Text: DOI arXiv
Magal, P.; Webb, G. F.; Wu, Yixiang A spatial model of honey bee colony collapse due to pesticide contamination of foraging bees. (English) Zbl 1443.92161 J. Math. Biol. 80, No. 7, 2363-2393 (2020). MSC: 92D25 92D40 92D45 PDFBibTeX XMLCite \textit{P. Magal} et al., J. Math. Biol. 80, No. 7, 2363--2393 (2020; Zbl 1443.92161) Full Text: DOI
Liu, Zhihua; Magal, Pierre Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions. (English) Zbl 1443.34082 Discrete Contin. Dyn. Syst., Ser. B 25, No. 6, 2271-2292 (2020). Reviewer: Khalil Ezzinbi (Marrakech) MSC: 34K30 34K08 34K18 34K20 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{P. Magal}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 6, 2271--2292 (2020; Zbl 1443.34082) Full Text: DOI arXiv
Ducrot, Arnaud; Magal, Pierre A center manifold for second order semilinear differential equations on the real line and applications to the existence of wave trains for the Gurtin-McCamy equation. (English) Zbl 1422.37057 Trans. Am. Math. Soc. 372, No. 5, 3487-3537 (2019). Reviewer: Rodica Luca (Iaşi) MSC: 37L10 35J61 35C07 47D62 PDFBibTeX XMLCite \textit{A. Ducrot} and \textit{P. Magal}, Trans. Am. Math. Soc. 372, No. 5, 3487--3537 (2019; Zbl 1422.37057) Full Text: DOI
Magal, Pierre; Seydi, Ousmane Persistence of a normally hyperbolic manifold for a system of non densely defined Cauchy problems. (English) Zbl 1428.37030 J. Differ. Equations 267, No. 5, 2950-3008 (2019). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37D10 37D20 PDFBibTeX XMLCite \textit{P. Magal} and \textit{O. Seydi}, J. Differ. Equations 267, No. 5, 2950--3008 (2019; Zbl 1428.37030) Full Text: DOI
Magal, Pierre; Webb, Glenn; Wu, Yixiang On a vector-host epidemic model with spatial structure. (English) Zbl 1408.35199 Nonlinearity 31, No. 12, 5589-5614 (2018). MSC: 35Q92 35B40 35P05 92D30 35B35 35K57 92C60 PDFBibTeX XMLCite \textit{P. Magal} et al., Nonlinearity 31, No. 12, 5589--5614 (2018; Zbl 1408.35199) Full Text: DOI arXiv
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane Singular perturbation for an abstract non-densely defined Cauchy problem. (English) Zbl 1387.34089 J. Evol. Equ. 17, No. 3, 1089-1128 (2017). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E15 34K26 34G20 35B25 47D62 92D25 34A12 PDFBibTeX XMLCite \textit{A. Ducrot} et al., J. Evol. Equ. 17, No. 3, 1089--1128 (2017; Zbl 1387.34089) Full Text: DOI
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei Bogdanov-Takens bifurcation in a predator-prey model. (English) Zbl 1358.35205 Z. Angew. Math. Phys. 67, No. 6, Article ID 137, 29 p. (2016). MSC: 35Q92 34K18 37L10 37L15 35K90 37G10 92D25 35B32 PDFBibTeX XMLCite \textit{Z. Liu} et al., Z. Angew. Math. Phys. 67, No. 6, Article ID 137, 29 p. (2016; Zbl 1358.35205) Full Text: DOI
Ducrot, A.; Magal, P.; Seydi, O. Persistence of exponential trichotomy for linear operators: a Lyapunov-Perron approach. (English) Zbl 1359.39001 J. Dyn. Differ. Equations 28, No. 1, 93-126 (2016). Reviewer: Yuming Chen (Waterloo) MSC: 39A06 47A55 47H10 93C55 PDFBibTeX XMLCite \textit{A. Ducrot} et al., J. Dyn. Differ. Equations 28, No. 1, 93--126 (2016; Zbl 1359.39001) Full Text: DOI
Fu, Xianlong; Liu, Zhihua; Magal, Pierre Hopf bifurcation in an age-structured population model with two delays. (English) Zbl 1314.35195 Commun. Pure Appl. Anal. 14, No. 2, 657-676 (2015). MSC: 35Q92 34G20 37G15 35B32 35K55 92D25 PDFBibTeX XMLCite \textit{X. Fu} et al., Commun. Pure Appl. Anal. 14, No. 2, 657--676 (2015; Zbl 1314.35195) Full Text: DOI
Liu, Zhihua; Magal, Pierre; Ruan, Shigui Normal forms for semilinear equations with non-dense domain with applications to age structured models. (English) Zbl 1347.37125 J. Differ. Equations 257, No. 4, 921-1011 (2014). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L10 37G05 34K18 34C20 PDFBibTeX XMLCite \textit{Z. Liu} et al., J. Differ. Equations 257, No. 4, 921--1011 (2014; Zbl 1347.37125) Full Text: DOI
Liu, Zhihua; Magal, Pierre; Ruan, Shigui Hopf bifurcation for non-densely defined Cauchy problems. (English) Zbl 1242.34112 Z. Angew. Math. Phys. 62, No. 2, 191-222 (2011). Reviewer: Vasile Lupulescu (Târgu Jiu) MSC: 34G20 34C23 PDFBibTeX XMLCite \textit{Z. Liu} et al., Z. Angew. Math. Phys. 62, No. 2, 191--222 (2011; Zbl 1242.34112) Full Text: DOI
Magal, P.; McCluskey, C. C.; Webb, G. F. Lyapunov functional and global asymptotic stability for an infection-age model. (English) Zbl 1208.34126 Appl. Anal. 89, No. 7, 1109-1140 (2010). Reviewer: Xinyu Song (Xinyang) MSC: 34K60 34K20 92D30 PDFBibTeX XMLCite \textit{P. Magal} et al., Appl. Anal. 89, No. 7, 1109--1140 (2010; Zbl 1208.34126) Full Text: DOI
Magal, Pierre; Ruan, Shigui Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. (English) Zbl 1191.35045 Mem. Am. Math. Soc. 951, 71 p. (2009). Reviewer: Lutz Recke (Berlin) MSC: 35B32 37L10 92D25 35L90 35F25 47D06 PDFBibTeX XMLCite \textit{P. Magal} and \textit{S. Ruan}, Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. Providence, RI: American Mathematical Society (AMS) (2009; Zbl 1191.35045) Full Text: DOI
Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui Hopf bifurcation in a size-structured population dynamic model with random growth. (English) Zbl 1172.35322 J. Differ. Equations 247, No. 3, 956-1000 (2009). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35B32 35K55 37L10 92D25 PDFBibTeX XMLCite \textit{J. Chu} et al., J. Differ. Equations 247, No. 3, 956--1000 (2009; Zbl 1172.35322) Full Text: DOI
Magal, Pierre Perturbation of a globally stable steady state and uniform persistence. (English) Zbl 1173.37025 J. Dyn. Differ. Equations 21, No. 1, 1-20 (2009). Reviewer: Marco Spadini (Firenze) MSC: 37C70 37L05 37N25 PDFBibTeX XMLCite \textit{P. Magal}, J. Dyn. Differ. Equations 21, No. 1, 1--20 (2009; Zbl 1173.37025) Full Text: DOI
Liu, Zhihua; Magal, Pierre; Ruan, Shigui Projectors on the generalized eigenspaces for functional differential equations using integrated semigroups. (English) Zbl 1178.34072 J. Differ. Equations 244, No. 7, 1784-1809 (2008). Reviewer: Andrzej Pelczar (Kraków) MSC: 34K05 34K30 47H20 34K06 PDFBibTeX XMLCite \textit{Z. Liu} et al., J. Differ. Equations 244, No. 7, 1784--1809 (2008; Zbl 1178.34072) Full Text: DOI
Magal, P.; Arino, O. Existence of periodic solutions for a state dependent delay differential equation. (English) Zbl 0977.34067 J. Differ. Equations 165, No. 1, 61-95 (2000). Reviewer: Stanislaw Walczak (Łódź) MSC: 34K13 34K11 34C25 34C15 PDFBibTeX XMLCite \textit{P. Magal} and \textit{O. Arino}, J. Differ. Equations 165, No. 1, 61--95 (2000; Zbl 0977.34067) Full Text: DOI
Magal, P. A uniqueness result for nontrivial steady states of a density-dependent population dynamics model. (English) Zbl 0939.47063 J. Math. Anal. Appl. 233, No. 1, 148-168 (1999). Reviewer: N.D.Sengupta (Bombay) MSC: 47N60 47H10 92D25 PDFBibTeX XMLCite \textit{P. Magal}, J. Math. Anal. Appl. 233, No. 1, 148--168 (1999; Zbl 0939.47063) Full Text: DOI
Magal, P.; Pelletier, D. A fixed point theorem with application to a model of population dynamics. (English) Zbl 0872.47029 J. Difference Equ. Appl. 3, No. 1, 65-87 (1997). MSC: 47H10 92D25 47H09 PDFBibTeX XMLCite \textit{P. Magal} and \textit{D. Pelletier}, J. Difference Equ. Appl. 3, No. 1, 65--87 (1997; Zbl 0872.47029) Full Text: DOI