Bosschaert, M. M.; Kuznetsov, Yu. A. Bifurcation analysis of Bogdanov-Takens bifurcations in delay differential equations. (English) Zbl 07803217 SIAM J. Appl. Dyn. Syst. 23, No. 1, 553-591 (2024). MSC: 37G05 37G10 65P30 34K16 34K18 34K19 PDFBibTeX XMLCite \textit{M. M. Bosschaert} and \textit{Yu. A. Kuznetsov}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 553--591 (2024; Zbl 07803217) Full Text: DOI arXiv
Yan, Dongxue; Fu, Xianlong Long-time behavior of a size-structured population model with diffusion and delayed birth process. (English) Zbl 1490.92057 Evol. Equ. Control Theory 11, No. 3, 895-923 (2022). MSC: 92D25 PDFBibTeX XMLCite \textit{D. Yan} and \textit{X. Fu}, Evol. Equ. Control Theory 11, No. 3, 895--923 (2022; Zbl 1490.92057) Full Text: DOI
Yanchuk, Serhiy; Wolfrum, Matthias; Pereira, Tiago; Turaev, Dmitry Absolute stability and absolute hyperbolicity in systems with discrete time-delays. (English) Zbl 1494.34165 J. Differ. Equations 318, 323-343 (2022). Reviewer: Jun Zhou (Chengdu) MSC: 34K20 34K06 34K08 PDFBibTeX XMLCite \textit{S. Yanchuk} et al., J. Differ. Equations 318, 323--343 (2022; Zbl 1494.34165) Full Text: DOI arXiv
Yuan, Yuan; Fu, Xianlong Asymptotic behavior of an age-structured prey-predator system with distributed delay. (English) Zbl 1484.92086 J. Differ. Equations 317, 121-152 (2022). MSC: 92D25 34D20 34K20 34K25 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{X. Fu}, J. Differ. Equations 317, 121--152 (2022; Zbl 1484.92086) Full Text: DOI
El Alaoui, Youssef; Alaoui, Larbi Asymptotic behavior of an integral equation of cell cycle model in the light of suns and stars. (English) Zbl 1493.92018 Indian J. Pure Appl. Math. 52, No. 4, 1169-1179 (2021). MSC: 92C37 92D25 92C15 47B34 PDFBibTeX XMLCite \textit{Y. El Alaoui} and \textit{L. Alaoui}, Indian J. Pure Appl. Math. 52, No. 4, 1169--1179 (2021; Zbl 1493.92018) Full Text: DOI
Diekmann, O.; Verduyn Lunel, S. M. Twin semigroups and delay equations. (English) Zbl 1472.34120 J. Differ. Equations 286, 332-410 (2021). Reviewer: Anatoli F. Ivanov (Lehman) MSC: 34K05 46G10 47D06 26A42 PDFBibTeX XMLCite \textit{O. Diekmann} and \textit{S. M. Verduyn Lunel}, J. Differ. Equations 286, 332--410 (2021; Zbl 1472.34120) Full Text: DOI arXiv
Bosschaert, Maikel M.; Janssens, Sebastiaan G.; Kuznetsov, Yu. A. Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations. (English) Zbl 07175469 SIAM J. Appl. Dyn. Syst. 19, No. 1, 252-303 (2020). Reviewer: Jian Peng (Xiangtan) MSC: 34K18 34K19 34K60 37L10 37M20 PDFBibTeX XMLCite \textit{M. M. Bosschaert} et al., SIAM J. Appl. Dyn. Syst. 19, No. 1, 252--303 (2020; Zbl 07175469) Full Text: DOI arXiv
Diekmann, Odo; Gyllenberg, Mats; Metz, Johan A. J. On models of physiologically structured populations and their reduction to ordinary differential equations. (English) Zbl 1432.92071 J. Math. Biol. 80, No. 1-2, 189-204 (2020). MSC: 92D25 60K10 34C60 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 80, No. 1--2, 189--204 (2020; Zbl 1432.92071) Full Text: DOI
Getto, Philipp; Gyllenberg, Mats; Nakata, Yukihiko; Scarabel, Francesca Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods. (English) Zbl 1470.92105 J. Math. Biol. 79, No. 1, 281-328 (2019). MSC: 92C37 92C15 34K20 PDFBibTeX XMLCite \textit{P. Getto} et al., J. Math. Biol. 79, No. 1, 281--328 (2019; Zbl 1470.92105) Full Text: DOI
Farkas, József Z. Net reproduction functions for nonlinear structured population models. (English) Zbl 1457.92135 Math. Model. Nat. Phenom. 13, No. 3, Paper No. 32, 12 p. (2018). MSC: 92D25 PDFBibTeX XMLCite \textit{J. Z. Farkas}, Math. Model. Nat. Phenom. 13, No. 3, Paper No. 32, 12 p. (2018; Zbl 1457.92135) Full Text: DOI arXiv Link
Yan, Dongxue; Fu, Xianlong Asymptotic behavior of a hierarchical size-structured population model. (English) Zbl 1408.35201 Evol. Equ. Control Theory 7, No. 2, 293-316 (2018). MSC: 35Q92 35F30 92D25 34D20 35B40 35B35 PDFBibTeX XMLCite \textit{D. Yan} and \textit{X. Fu}, Evol. Equ. Control Theory 7, No. 2, 293--316 (2018; Zbl 1408.35201) Full Text: DOI
Fu, Xian-Long; Wu, Qiong Asymptotic behaviors of a size-structured population model. (English) Zbl 1378.35312 Acta Math. Appl. Sin., Engl. Ser. 33, No. 4, 1025-1042 (2017). MSC: 35Q92 92D25 35F30 PDFBibTeX XMLCite \textit{X.-L. Fu} and \textit{Q. Wu}, Acta Math. Appl. Sin., Engl. Ser. 33, No. 4, 1025--1042 (2017; Zbl 1378.35312) Full Text: DOI
Yan, Dongxue; Fu, Xianlong Long-time behavior of spatially and size-structured population dynamics with delayed birth process. (English) Zbl 1360.35308 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 3, Article ID 1750032, 23 p. (2017). MSC: 35Q92 92D25 35R10 35B32 35B35 35B40 PDFBibTeX XMLCite \textit{D. Yan} and \textit{X. Fu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 3, Article ID 1750032, 23 p. (2017; Zbl 1360.35308) Full Text: DOI
Yan, Dongxue; Cao, Yu; Fu, Xianlong Asymptotic analysis of a size-structured cannibalism population model with delayed birth process. (English) Zbl 1366.37155 Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1975-1998 (2016). MSC: 37N25 92D25 PDFBibTeX XMLCite \textit{D. Yan} et al., Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 1975--1998 (2016; Zbl 1366.37155) Full Text: DOI
Yan, Dongxue; Fu, Xianlong Asymptotic analysis of a spatially and size-structured population model with delayed birth process. (English) Zbl 1358.35212 Commun. Pure Appl. Anal. 15, No. 2, 637-655 (2016). MSC: 35Q92 35R10 35B40 37G15 35B32 35K55 92D25 PDFBibTeX XMLCite \textit{D. Yan} and \textit{X. Fu}, Commun. Pure Appl. Anal. 15, No. 2, 637--655 (2016; Zbl 1358.35212) Full Text: DOI
Borges, Ricardo; Calsina, Àngel; Cuadrado, Sílvia; Diekmann, Odo Delay equation formulation of a cyclin-structured cell population model. (English) Zbl 1359.92030 J. Evol. Equ. 14, No. 4-5, 841-862 (2014). MSC: 92C37 45D05 47D06 PDFBibTeX XMLCite \textit{R. Borges} et al., J. Evol. Equ. 14, No. 4--5, 841--862 (2014; Zbl 1359.92030) Full Text: DOI
Kalauch, Anke; Picard, Rainer; Siegmund, Stefan; Trostorff, Sascha; Waurick, Marcus A Hilbert space perspective on ordinary differential equations with memory term. (English) Zbl 1307.34103 J. Dyn. Differ. Equations 26, No. 2, 369-399 (2014). Reviewer: Panagiotis Ch. Tsamatos (Ioannina) MSC: 34K05 34K30 34K40 45G15 PDFBibTeX XMLCite \textit{A. Kalauch} et al., J. Dyn. Differ. Equations 26, No. 2, 369--399 (2014; Zbl 1307.34103) Full Text: DOI arXiv
Fu, Xianlong; Zhu, Dongmei Stability analysis for a size-structured juvenile-adult population model. (English) Zbl 1295.35059 Discrete Contin. Dyn. Syst., Ser. B 19, No. 2, 391-417 (2014). MSC: 35B35 92D25 35F25 47D06 35B40 PDFBibTeX XMLCite \textit{X. Fu} and \textit{D. Zhu}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 2, 391--417 (2014; Zbl 1295.35059) Full Text: DOI
Nakaoka, Shinji; Aihara, Kazuyuki Stochastic simulation of structured skin cell population dynamics. (English) Zbl 1258.92015 J. Math. Biol. 66, No. 4-5, 807-835 (2013). MSC: 92C50 92C37 65C99 37N25 PDFBibTeX XMLCite \textit{S. Nakaoka} and \textit{K. Aihara}, J. Math. Biol. 66, No. 4--5, 807--835 (2013; Zbl 1258.92015) Full Text: DOI
van Gils, S. A.; Janssens, S. G.; Kuznetsov, Yu. A.; Visser, S. On local bifurcations in neural field models with transmission delays. (English) Zbl 1266.37040 J. Math. Biol. 66, No. 4-5, 837-887 (2013). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L10 47H20 37L05 37M20 92C20 PDFBibTeX XMLCite \textit{S. A. van Gils} et al., J. Math. Biol. 66, No. 4--5, 837--887 (2013; Zbl 1266.37040) Full Text: DOI arXiv
Nakaoka, Shinji; Aihara, Kazuyuki Mathematical study on kinetics of hematopoietic stem cells – theoretical conditions for successful transplantation. (English) Zbl 1447.92203 J. Biol. Dyn. 6, No. 2, 836-854 (2012). MSC: 92C50 92C37 PDFBibTeX XMLCite \textit{S. Nakaoka} and \textit{K. Aihara}, J. Biol. Dyn. 6, No. 2, 836--854 (2012; Zbl 1447.92203) Full Text: DOI
Diekmann, Odo; Gyllenberg, Mats Equations with infinite delay: blending the abstract and the concrete. (English) Zbl 1237.34133 J. Differ. Equations 252, No. 2, 819-851 (2012). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 34K30 47D99 34K20 PDFBibTeX XMLCite \textit{O. Diekmann} and \textit{M. Gyllenberg}, J. Differ. Equations 252, No. 2, 819--851 (2012; Zbl 1237.34133) Full Text: DOI
Diekmann, Odo; Gyllenberg, Mats; Metz, J. A. J.; Nakaoka, Shinji; de Roos, Andre M. Daphnia revisited: Local stability and bifurcation theory for physiologically structured population models explained by way of an example. (English) Zbl 1208.92082 J. Math. Biol. 61, No. 2, 277-318 (2010); erratum ibid. 75, No. 1, 259-261 (2017). MSC: 92D40 34K20 37N25 92D25 45D05 65L05 PDFBibTeX XMLCite \textit{O. Diekmann} et al., J. Math. Biol. 61, No. 2, 277--318 (2010; Zbl 1208.92082) Full Text: DOI
Geritz, Stefan A. H.; Gyllenberg, Mats; Ondráček, Petr Evolution of density-dependent dispersal in a structured metapopulation. (English) Zbl 1168.92039 Math. Biosci. 219, No. 2, 142-148 (2009). MSC: 92D15 92D40 37N25 92D25 PDFBibTeX XMLCite \textit{S. A. H. Geritz} et al., Math. Biosci. 219, No. 2, 142--148 (2009; Zbl 1168.92039) Full Text: DOI
Diekmann, O.; Gyllenberg, M. The second half – with a quarter of a century delay. (English) Zbl 1337.92173 Math. Model. Nat. Phenom. 3, No. 7, 36-48 (2008). MSC: 92D25 34K60 47D06 PDFBibTeX XMLCite \textit{O. Diekmann} and \textit{M. Gyllenberg}, Math. Model. Nat. Phenom. 3, No. 7, 36--48 (2008; Zbl 1337.92173) Full Text: DOI
Gyllenberg, Mats Mathematical aspects of physiologically structured populations: The contributions of J. A. J. Metz. (English) Zbl 1255.01017 J. Biol. Dyn. 1, No. 1, 3-44 (2007). MSC: 01A70 92-03 92D25 PDFBibTeX XMLCite \textit{M. Gyllenberg}, J. Biol. Dyn. 1, No. 1, 3--44 (2007; Zbl 1255.01017) Full Text: DOI