Alfaro, Matthieu; Hamel, François; Patout, Florian; Roques, Lionel Adaptation in a heterogeneous environment. II: To be three or not to be. (English) Zbl 1527.35432 J. Math. Biol. 87, No. 5, Paper No. 68, 53 p. (2023). MSC: 35Q92 92D25 92D30 92D40 35B30 35B40 35K40 92-08 PDFBibTeX XMLCite \textit{M. Alfaro} et al., J. Math. Biol. 87, No. 5, Paper No. 68, 53 p. (2023; Zbl 1527.35432) Full Text: DOI arXiv
Dey, Subrata; Ghorai, S.; Banerjee, Malay Analytical detection of stationary and dynamic patterns in a prey-predator model with reproductive Allee effect in prey growth. (English) Zbl 1518.35051 J. Math. Biol. 87, No. 1, Paper No. 21, 42 p. (2023). MSC: 35B32 35K51 35K57 92D25 92D40 PDFBibTeX XMLCite \textit{S. Dey} et al., J. Math. Biol. 87, No. 1, Paper No. 21, 42 p. (2023; Zbl 1518.35051) Full Text: DOI arXiv
Jaramillo-Aguayo, Pedro; Collin, Annabelle; Poignard, Clair Phase-field model of bilipid membrane electroporation. (English) Zbl 1522.35518 J. Math. Biol. 87, No. 1, Paper No. 18, 35 p. (2023). MSC: 35Q92 92C05 92C40 92C37 81V55 35K45 35S15 37N25 62P10 65F50 92-08 PDFBibTeX XMLCite \textit{P. Jaramillo-Aguayo} et al., J. Math. Biol. 87, No. 1, Paper No. 18, 35 p. (2023; Zbl 1522.35518) Full Text: DOI
Pu, Liqiong; Lin, Zhigui; Lou, Yuan A West Nile virus nonlocal model with free boundaries and seasonal succession. (English) Zbl 1506.35283 J. Math. Biol. 86, No. 2, Paper No. 25, 52 p. (2023). MSC: 35R35 35K51 35K57 92D30 PDFBibTeX XMLCite \textit{L. Pu} et al., J. Math. Biol. 86, No. 2, Paper No. 25, 52 p. (2023; Zbl 1506.35283) Full Text: DOI arXiv
Tang, De; Wang, Zhi-An Population dynamics with resource-dependent dispersal: single- and two-species models. (English) Zbl 1506.35115 J. Math. Biol. 86, No. 2, Paper No. 23, 42 p. (2023). MSC: 35K57 35B40 35K51 37C65 92D25 PDFBibTeX XMLCite \textit{D. Tang} and \textit{Z.-A. Wang}, J. Math. Biol. 86, No. 2, Paper No. 23, 42 p. (2023; Zbl 1506.35115) Full Text: DOI
Kong, Fanze; Wei, Juncheng; Xu, Liangshun The existence and stability of spikes in the one-dimensional Keller-Segel model with logistic growth. (English) Zbl 1505.35021 J. Math. Biol. 86, No. 1, Paper No. 6, 54 p. (2023). MSC: 35B25 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{F. Kong} et al., J. Math. Biol. 86, No. 1, Paper No. 6, 54 p. (2023; Zbl 1505.35021) Full Text: DOI
Zhang, Hua; Wei, Junjie Bifurcation analysis for a single population model with advection. (English) Zbl 1501.35044 J. Math. Biol. 85, No. 6-7, Paper No. 61, 34 p. (2022). MSC: 35B32 35K20 35K58 35R10 37G15 92D25 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{J. Wei}, J. Math. Biol. 85, No. 6--7, Paper No. 61, 34 p. (2022; Zbl 1501.35044) Full Text: DOI
Giunta, Valeria; Hillen, Thomas; Lewis, Mark A.; Potts, Jonathan R. Detecting minimum energy states and multi-stability in nonlocal advection-diffusion models for interacting species. (English) Zbl 1501.35050 J. Math. Biol. 85, No. 5, Paper No. 56, 44 p. (2022). MSC: 35B36 35B38 35K51 35K59 35R09 92D25 92D40 PDFBibTeX XMLCite \textit{V. Giunta} et al., J. Math. Biol. 85, No. 5, Paper No. 56, 44 p. (2022; Zbl 1501.35050) Full Text: DOI arXiv
Eliaš, Ján; Izuhara, Hirofumi; Mimura, Masayasu; Tang, Bao Q. An aggregation model of cockroaches with fast-or-slow motion dichotomy. (English) Zbl 1498.92319 J. Math. Biol. 85, No. 3, Paper No. 28, 43 p. (2022). MSC: 92D50 35K57 35K51 PDFBibTeX XMLCite \textit{J. Eliaš} et al., J. Math. Biol. 85, No. 3, Paper No. 28, 43 p. (2022; Zbl 1498.92319) Full Text: DOI arXiv
Lou, Yuan; Nie, Hua Global dynamics of a generalist predator-prey model in open advective environments. (English) Zbl 1487.35059 J. Math. Biol. 84, No. 6, Paper No. 46, 40 p. (2022). MSC: 35B35 35B40 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{Y. Lou} and \textit{H. Nie}, J. Math. Biol. 84, No. 6, Paper No. 46, 40 p. (2022; Zbl 1487.35059) Full Text: DOI
Kuwamura, Masataka; Izuhara, Hirofumi; Ei, Shin-ichiro Oscillations and bifurcation structure of reaction-diffusion model for cell polarity formation. (English) Zbl 1485.35045 J. Math. Biol. 84, No. 4, Paper No. 22, 26 p. (2022). MSC: 35B36 35B32 35K51 35K57 92B05 PDFBibTeX XMLCite \textit{M. Kuwamura} et al., J. Math. Biol. 84, No. 4, Paper No. 22, 26 p. (2022; Zbl 1485.35045) Full Text: DOI arXiv
Khan, Kamruzzaman; Liu, Shuang; Schaerf, Timothy M.; Du, Yihong Invasive behaviour under competition via a free boundary model: a numerical approach. (English) Zbl 1477.35285 J. Math. Biol. 83, No. 3, Paper No. 23, 43 p. (2021). MSC: 35Q92 35K51 92D25 65M22 92-08 35R35 PDFBibTeX XMLCite \textit{K. Khan} et al., J. Math. Biol. 83, No. 3, Paper No. 23, 43 p. (2021; Zbl 1477.35285) Full Text: DOI
Hamel, François; Lavigne, Florian; Roques, Lionel Adaptation in a heterogeneous environment I: persistence versus extinction. (English) Zbl 1473.35598 J. Math. Biol. 83, No. 2, Paper No. 14, 42 p. (2021). MSC: 35Q92 35B30 35B40 35K40 92D25 92C80 PDFBibTeX XMLCite \textit{F. Hamel} et al., J. Math. Biol. 83, No. 2, Paper No. 14, 42 p. (2021; Zbl 1473.35598) Full Text: DOI arXiv HAL
Izuhara, Hirofumi; Monobe, Harunori; Wu, Chang-Hong The formation of spreading front: the singular limit of three-component reaction-diffusion models. (English) Zbl 1464.35365 J. Math. Biol. 82, No. 5, Paper No. 38, 33 p. (2021). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 35K57 35K45 35C07 92D25 92D40 35R37 PDFBibTeX XMLCite \textit{H. Izuhara} et al., J. Math. Biol. 82, No. 5, Paper No. 38, 33 p. (2021; Zbl 1464.35365) Full Text: DOI
Shi, Qingyan; Shi, Junping; Wang, Hao Spatial movement with distributed memory. (English) Zbl 1461.35034 J. Math. Biol. 82, No. 4, Paper No. 33, 32 p. (2021). MSC: 35B32 35B36 35K51 35K59 92B05 35K57 PDFBibTeX XMLCite \textit{Q. Shi} et al., J. Math. Biol. 82, No. 4, Paper No. 33, 32 p. (2021; Zbl 1461.35034) Full Text: DOI
Wang, Zhi-An; Xu, Jiao On the Lotka-Volterra competition system with dynamical resources and density-dependent diffusion. (English) Zbl 1456.35107 J. Math. Biol. 82, No. 1-2, Paper No. 7, 37 p. (2021). MSC: 35K51 35B40 35B44 35K57 92D25 PDFBibTeX XMLCite \textit{Z.-A. Wang} and \textit{J. Xu}, J. Math. Biol. 82, No. 1--2, Paper No. 7, 37 p. (2021; Zbl 1456.35107) Full Text: DOI
Wang, Xueying; Zhao, Xiao-Qiang Target reproduction numbers for reaction-diffusion population models. (English) Zbl 1445.35214 J. Math. Biol. 81, No. 2, 625-647 (2020). MSC: 35K57 35K51 35B20 92D25 PDFBibTeX XMLCite \textit{X. Wang} and \textit{X.-Q. Zhao}, J. Math. Biol. 81, No. 2, 625--647 (2020; Zbl 1445.35214) Full Text: DOI
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin The Fisher-KPP equation over simple graphs: varied persistence states in river networks. (English) Zbl 1431.35074 J. Math. Biol. 80, No. 5, 1559-1616 (2020). MSC: 35K57 35Q92 92D40 92D25 35K20 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Math. Biol. 80, No. 5, 1559--1616 (2020; Zbl 1431.35074) Full Text: DOI arXiv
Ardaševa, Aleksandra; Gatenby, Robert A.; Anderson, Alexander R. A.; Byrne, Helen M.; Maini, Philip K.; Lorenzi, Tommaso Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. (English) Zbl 1434.35250 J. Math. Biol. 80, No. 3, 775-807 (2020). MSC: 35Q92 92D25 35K55 92D15 92-08 65M06 65L05 PDFBibTeX XMLCite \textit{A. Ardaševa} et al., J. Math. Biol. 80, No. 3, 775--807 (2020; Zbl 1434.35250) Full Text: DOI arXiv
Miyaoka, Tiago Yuzo; Lenhart, Suzanne; Meyer, João F. C. A. Optimal control of vaccination in a vector-Borne reaction-diffusion model applied to Zika virus. (English) Zbl 1416.35136 J. Math. Biol. 79, No. 3, 1077-1104 (2019). MSC: 35K51 49J20 92D30 35Q92 PDFBibTeX XMLCite \textit{T. Y. Miyaoka} et al., J. Math. Biol. 79, No. 3, 1077--1104 (2019; Zbl 1416.35136) Full Text: DOI
Ren, Xinzhi; Tian, Yanni; Liu, Lili; Liu, Xianning A reaction-diffusion within-host HIV model with cell-to-cell transmission. (English) Zbl 1391.92055 J. Math. Biol. 76, No. 7, 1831-1872 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 92D30 35K51 35B40 35C07 PDFBibTeX XMLCite \textit{X. Ren} et al., J. Math. Biol. 76, No. 7, 1831--1872 (2018; Zbl 1391.92055) Full Text: DOI
Mattei, Maria Rosaria; Frunzo, Luigi; D’Acunto, B.; Pechaud, Yoan; Pirozzi, Francesco; Esposito, Giovanni Continuum and discrete approach in modeling biofilm development and structure: a review. (English) Zbl 1391.35378 J. Math. Biol. 76, No. 4, 945-1003 (2018). Reviewer: K. N. Shukla (Gurgaon) MSC: 35Q92 92-08 92-02 60H15 35K65 35K57 35L50 92B05 92D25 PDFBibTeX XMLCite \textit{M. R. Mattei} et al., J. Math. Biol. 76, No. 4, 945--1003 (2018; Zbl 1391.35378) Full Text: DOI
Bao, Wendi; Du, Yihong; Lin, Zhigui; Zhu, Huaiping Free boundary models for mosquito range movement driven by climate warming. (English) Zbl 1402.35283 J. Math. Biol. 76, No. 4, 841-875 (2018). Reviewer: Marin I. Marin (Braşov) MSC: 35Q92 35K55 35R35 92D40 92D25 65M06 92-08 65H10 35A01 35A02 PDFBibTeX XMLCite \textit{W. Bao} et al., J. Math. Biol. 76, No. 4, 841--875 (2018; Zbl 1402.35283) Full Text: DOI
Motsch, Sebastien; Peurichard, Diane From short-range repulsion to Hele-Shaw problem in a model of tumor growth. (English) Zbl 1432.35204 J. Math. Biol. 76, No. 1-2, 205-234 (2018). MSC: 35Q92 92C42 35B25 35K55 76D27 82C22 92C15 PDFBibTeX XMLCite \textit{S. Motsch} and \textit{D. Peurichard}, J. Math. Biol. 76, No. 1--2, 205--234 (2018; Zbl 1432.35204) Full Text: DOI arXiv
Lin, Zhigui; Zhu, Huaiping Spatial spreading model and dynamics of West Nile virus in birds and mosquitoes with free boundary. (English) Zbl 1373.35321 J. Math. Biol. 75, No. 6-7, 1381-1409 (2017). MSC: 35Q92 35K55 35R35 35B40 92D30 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{H. Zhu}, J. Math. Biol. 75, No. 6--7, 1381--1409 (2017; Zbl 1373.35321) Full Text: DOI arXiv
Sarhad, Jonathan; Manifold, Scott; Anderson, Kurt E. Geometric indicators of population persistence in branching continuous-space networks. (English) Zbl 1360.92092 J. Math. Biol. 74, No. 4, 981-1009 (2017). MSC: 92D25 05C90 35K57 35K20 35J25 92D40 PDFBibTeX XMLCite \textit{J. Sarhad} et al., J. Math. Biol. 74, No. 4, 981--1009 (2017; Zbl 1360.92092) Full Text: DOI Link
Groh, Andreas; Kohr, Holger; Louis, Alfred K. Numerical rate function determination in partial differential equations modeling cell population dynamics. (English) Zbl 1377.65122 J. Math. Biol. 74, No. 3, 533-565 (2017). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M32 92D25 35K20 35R30 PDFBibTeX XMLCite \textit{A. Groh} et al., J. Math. Biol. 74, No. 3, 533--565 (2017; Zbl 1377.65122) Full Text: DOI
Buono, Pietro-Luciano; Eftimie, Raluca Symmetries and pattern formation in hyperbolic versus parabolic models of self-organised aggregation. (English) Zbl 1329.35052 J. Math. Biol. 71, No. 4, 847-881 (2015). MSC: 35B32 35B06 35B36 92B05 35L60 35K57 58E09 PDFBibTeX XMLCite \textit{P.-L. Buono} and \textit{R. Eftimie}, J. Math. Biol. 71, No. 4, 847--881 (2015; Zbl 1329.35052) Full Text: DOI
Cangelosi, Richard A.; Wollkind, David J.; Kealy-Dichone, Bonni J.; Chaiya, Inthira Nonlinear stability analyses of Turing patterns for a mussel-algae model. (English) Zbl 1456.35028 J. Math. Biol. 70, No. 6, 1249-1294 (2015). MSC: 35B36 35K57 92D40 35B35 35B32 35K51 PDFBibTeX XMLCite \textit{R. A. Cangelosi} et al., J. Math. Biol. 70, No. 6, 1249--1294 (2015; Zbl 1456.35028) Full Text: DOI
Lou, Yuan; Lutscher, Frithjof Evolution of dispersal in open advective environments. (English) Zbl 1307.35144 J. Math. Biol. 69, No. 6-7, 1319-1342 (2014). MSC: 35K57 35K51 92D25 PDFBibTeX XMLCite \textit{Y. Lou} and \textit{F. Lutscher}, J. Math. Biol. 69, No. 6--7, 1319--1342 (2014; Zbl 1307.35144) Full Text: DOI
Lam, King-Yeung; Lou, Yuan Evolution of conditional dispersal: evolutionarily stable strategies in spatial models. (English) Zbl 1293.35140 J. Math. Biol. 68, No. 4, 851-877 (2014). MSC: 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{K.-Y. Lam} and \textit{Y. Lou}, J. Math. Biol. 68, No. 4, 851--877 (2014; Zbl 1293.35140) Full Text: DOI
Hidalgo, A.; Tello, L.; Toro, E. F. Numerical and analytical study of an atherosclerosis inflammatory disease model. (English) Zbl 1293.35343 J. Math. Biol. 68, No. 7, 1785-1814 (2014). MSC: 35Q92 35B40 35K57 65M08 92C50 PDFBibTeX XMLCite \textit{A. Hidalgo} et al., J. Math. Biol. 68, No. 7, 1785--1814 (2014; Zbl 1293.35343) Full Text: DOI Link
McGillen, Jessica B.; Gaffney, Eamonn A.; Martin, Natasha K.; Maini, Philip K. A general reaction-diffusion model of acidity in cancer invasion. (English) Zbl 1288.35186 J. Math. Biol. 68, No. 5, 1199-1224 (2014). MSC: 35C20 35K55 35K57 65M20 92C50 35C07 35B40 PDFBibTeX XMLCite \textit{J. B. McGillen} et al., J. Math. Biol. 68, No. 5, 1199--1224 (2014; Zbl 1288.35186) Full Text: DOI
Wei, Juncheng; Winter, Matthias Stability of cluster solutions in a cooperative consumer chain model. (English) Zbl 1286.35034 J. Math. Biol. 68, No. 1-2, 1-39 (2014). MSC: 35B35 92C40 35Q92 35B40 35B25 35K58 35B36 35K57 35K51 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Math. Biol. 68, No. 1--2, 1--39 (2014; Zbl 1286.35034) Full Text: DOI Link
Müller, Johannes; Uecker, Hannes Approximating the dynamics of communicating cells in a diffusive medium by ODEs – homogenization with localization. (English) Zbl 1277.35036 J. Math. Biol. 67, No. 5, 1023-1065 (2013). MSC: 35B27 35K20 35C20 35Q92 35K10 PDFBibTeX XMLCite \textit{J. Müller} and \textit{H. Uecker}, J. Math. Biol. 67, No. 5, 1023--1065 (2013; Zbl 1277.35036) Full Text: DOI
Djellouli, R.; Mahserejian, S.; Mokrane, A.; Moussaoui, M.; Laleg-Kirati, T. M. Theoretical study of the fibrous capsule tissue growth around a disk-shaped implant. (English) Zbl 1277.35213 J. Math. Biol. 67, No. 4, 833-867 (2013). MSC: 35K58 35K20 47D06 35B50 35Q92 35R25 35R30 PDFBibTeX XMLCite \textit{R. Djellouli} et al., J. Math. Biol. 67, No. 4, 833--867 (2013; Zbl 1277.35213) Full Text: DOI
Tosin, Andrea Initial/boundary-value problems of tumor growth within a host tissue. (English) Zbl 1259.35212 J. Math. Biol. 66, No. 1-2, 163-202 (2013). MSC: 35Q92 35B45 92B05 35K51 35K65 PDFBibTeX XMLCite \textit{A. Tosin}, J. Math. Biol. 66, No. 1--2, 163--202 (2013; Zbl 1259.35212) Full Text: DOI arXiv
Guo, Zhiming; Wang, Feng-Bin; Zou, Xingfu Threshold dynamics of an infective disease model with a fixed latent period and non-local infections. (English) Zbl 1257.35105 J. Math. Biol. 65, No. 6-7, 1387-1410 (2012). MSC: 35K51 35B41 35K57 35R09 37N25 92D30 PDFBibTeX XMLCite \textit{Z. Guo} et al., J. Math. Biol. 65, No. 6--7, 1387--1410 (2012; Zbl 1257.35105) Full Text: DOI
El Khatib, N.; Genieys, S.; Kazmierczak, B.; Volpert, V. Reaction-diffusion model of atherosclerosis development. (English) Zbl 1252.35156 J. Math. Biol. 65, No. 2, 349-374 (2012). MSC: 35K57 92C50 35C07 35K61 PDFBibTeX XMLCite \textit{N. El Khatib} et al., J. Math. Biol. 65, No. 2, 349--374 (2012; Zbl 1252.35156) Full Text: DOI
Barreira, R.; Elliott, C. M.; Madzvamuse, A. The surface finite element method for pattern formation on evolving biological surfaces. (English) Zbl 1234.92007 J. Math. Biol. 63, No. 6, 1095-1119 (2011). MSC: 92C15 35K57 65M60 35K58 37N25 PDFBibTeX XMLCite \textit{R. Barreira} et al., J. Math. Biol. 63, No. 6, 1095--1119 (2011; Zbl 1234.92007) Full Text: DOI
Biler, Piotr; Corrias, Lucilla; Dolbeault, Jean Large mass self-similar solutions of the parabolic-parabolic Keller-Segel model of chemotaxis. (English) Zbl 1230.92011 J. Math. Biol. 63, No. 1, 1-32 (2011). MSC: 92C17 35K40 35J60 35Q92 35B30 PDFBibTeX XMLCite \textit{P. Biler} et al., J. Math. Biol. 63, No. 1, 1--32 (2011; Zbl 1230.92011) Full Text: DOI arXiv
Weller, Frédéric Frank Platelet deposition in non-parallel flow. (English) Zbl 1149.35332 J. Math. Biol. 57, No. 3, 333-359 (2008). MSC: 35D05 35K55 35K57 76Z05 92-08 92C10 35Q30 35K50 PDFBibTeX XMLCite \textit{F. F. Weller}, J. Math. Biol. 57, No. 3, 333--359 (2008; Zbl 1149.35332) Full Text: DOI
Wei, Juncheng; Winter, Matthias Stationary multiple spots for reaction-diffusion systems. (English) Zbl 1141.92007 J. Math. Biol. 57, No. 1, 53-89 (2008). MSC: 92C15 35K57 46N60 35K45 35J55 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Math. Biol. 57, No. 1, 53--89 (2008; Zbl 1141.92007) Full Text: DOI
Kettemann, Anita; Neuss-Radu, Maria Derivation and analysis of a system modeling the chemotactic movement of hematopoietic stem cells. (English) Zbl 1162.35041 J. Math. Biol. 56, No. 5, 579-610 (2008). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K50 35K55 92C17 PDFBibTeX XMLCite \textit{A. Kettemann} and \textit{M. Neuss-Radu}, J. Math. Biol. 56, No. 5, 579--610 (2008; Zbl 1162.35041) Full Text: DOI
Nagylaki, Thomas; Lou, Yuan Evolution at a multiallelic locus under migration and uniform selection. (English) Zbl 1149.35363 J. Math. Biol. 54, No. 6, 787-796 (2007). MSC: 35K50 35B40 35K57 92D10 92D25 PDFBibTeX XMLCite \textit{T. Nagylaki} and \textit{Y. Lou}, J. Math. Biol. 54, No. 6, 787--796 (2007; Zbl 1149.35363) Full Text: DOI
Champagnat, Nicolas; Méléard, Sylvie Invasion and adaptive evolution for individual-based spatially structured populations. (English) Zbl 1129.60080 J. Math. Biol. 55, No. 2, 147-188 (2007). Reviewer: Valentin Topchii (Omsk) MSC: 60J85 60K35 92D15 92D25 35K60 PDFBibTeX XMLCite \textit{N. Champagnat} and \textit{S. Méléard}, J. Math. Biol. 55, No. 2, 147--188 (2007; Zbl 1129.60080) Full Text: DOI arXiv
Bělík, Pavel; Dayananda, P. W. A.; Kemper, John T.; Shvartsman, Mikhail M. A stochastic model for PSA levels: behavior of solutions and population statistics. (English) Zbl 1099.92030 J. Math. Biol. 53, No. 3, 437-463 (2006). MSC: 92C50 60J70 35Q92 35K15 35K20 PDFBibTeX XMLCite \textit{P. Bělík} et al., J. Math. Biol. 53, No. 3, 437--463 (2006; Zbl 1099.92030) Full Text: DOI
Ayati, Bruce P. A structured-population model of Proteus mirabilis swarm-colony development. (English) Zbl 1091.92058 J. Math. Biol. 52, No. 1, 93-114 (2006). MSC: 92D50 92D25 35L70 35L20 35K55 35K20 PDFBibTeX XMLCite \textit{B. P. Ayati}, J. Math. Biol. 52, No. 1, 93--114 (2006; Zbl 1091.92058) Full Text: DOI arXiv
Allegretto, Walter; Mocenni, Chiara; Vicino, Antonio Periodic solutions in modelling lagoon ecological interactions. (English) Zbl 1087.92056 J. Math. Biol. 51, No. 4, 367-388 (2005). MSC: 92D40 35K50 35Q92 PDFBibTeX XMLCite \textit{W. Allegretto} et al., J. Math. Biol. 51, No. 4, 367--388 (2005; Zbl 1087.92056) Full Text: DOI
Edwards, David A. Refining the measurement of rate constants in the BIAcore. (English) Zbl 1073.35016 J. Math. Biol. 49, No. 3, 272-292 (2004). Reviewer: Mohamed O. El-Doma (Beirut) MSC: 35B20 45K05 34D10 35K60 65C20 65-05 92C45 92E20 PDFBibTeX XMLCite \textit{D. A. Edwards}, J. Math. Biol. 49, No. 3, 272--292 (2004; Zbl 1073.35016) Full Text: DOI
Friedman, Avner; Tao, Youshan Analysis of a model of a virus that replicates selectively in tumor cells. (English) Zbl 1052.92027 J. Math. Biol. 47, No. 5, 391-423 (2003). MSC: 92C50 35R35 35Q92 PDFBibTeX XMLCite \textit{A. Friedman} and \textit{Y. Tao}, J. Math. Biol. 47, No. 5, 391--423 (2003; Zbl 1052.92027) Full Text: DOI
Gourley, S. A.; So, J. W.-H. Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain. (English) Zbl 0993.92027 J. Math. Biol. 44, No. 1, 49-78 (2002). MSC: 92D25 35K99 35B35 35Q92 PDFBibTeX XMLCite \textit{S. A. Gourley} and \textit{J. W. H. So}, J. Math. Biol. 44, No. 1, 49--78 (2002; Zbl 0993.92027) Full Text: DOI
Horstmann, Dirk On the existence of radially symmetric blow-up solutions for the Keller-Segel model. (English) Zbl 1053.35064 J. Math. Biol. 44, No. 5, 463-478 (2002). MSC: 35K57 35B40 35K50 92C37 92D25 PDFBibTeX XMLCite \textit{D. Horstmann}, J. Math. Biol. 44, No. 5, 463--478 (2002; Zbl 1053.35064) Full Text: DOI
Feltham, D. L.; Chaplain, M. A. J. Analytical solutions of a minimal model of species migration in a bounded domain. (English) Zbl 0963.92006 J. Math. Biol. 40, No. 4, 321-342 (2000). MSC: 92C17 35K20 35Q92 PDFBibTeX XMLCite \textit{D. L. Feltham} and \textit{M. A. J. Chaplain}, J. Math. Biol. 40, No. 4, 321--342 (2000; Zbl 0963.92006) Full Text: DOI
Friedman, Avner; Reitich, Fernando Analysis of a mathematical model for the growth of tumors. (English) Zbl 0944.92018 J. Math. Biol. 38, No. 3, 262-284 (1999). MSC: 92C50 35K57 35B35 35B40 35R35 PDFBibTeX XMLCite \textit{A. Friedman} and \textit{F. Reitich}, J. Math. Biol. 38, No. 3, 262--284 (1999; Zbl 0944.92018) Full Text: DOI Link
Allegretto, W.; Xie, H.; Yang, Shixin Properties of solutions for a chemotaxis system. (English) Zbl 0892.92009 J. Math. Biol. 35, No. 8, 949-966 (1997). MSC: 92C50 35B05 35G20 35G30 PDFBibTeX XMLCite \textit{W. Allegretto} et al., J. Math. Biol. 35, No. 8, 949--966 (1997; Zbl 0892.92009) Full Text: DOI
Chaplain, M. A. J.; Giles, Susan M.; Sleeman, B. D.; Jarvis, R. J. A mathematical analysis of a model for tumour angiogenesis. (English) Zbl 0830.92013 J. Math. Biol. 33, No. 7, 744-770 (1995). MSC: 92C50 35Q92 35K15 35K20 PDFBibTeX XMLCite \textit{M. A. J. Chaplain} et al., J. Math. Biol. 33, No. 7, 744--770 (1995; Zbl 0830.92013) Full Text: DOI
Capasso, V.; Di Liddo, A. Asymptotic behaviour of reaction-diffusion systems in population and epidemic models. The role of cross diffusion. (English) Zbl 0802.35077 J. Math. Biol. 32, No. 5, 453-463 (1994). MSC: 35K57 35K60 35B40 92D30 92D40 PDFBibTeX XMLCite \textit{V. Capasso} and \textit{A. Di Liddo}, J. Math. Biol. 32, No. 5, 453--463 (1994; Zbl 0802.35077) Full Text: DOI
Lui, R. Positive solutions of an elliptic system arising from a model in evolutionary ecology. (English) Zbl 0741.92012 J. Math. Biol. 29, No. 3, 239-250 (1991). Reviewer: S.Anita (Iaşi) MSC: 92D15 35J55 35Q92 35B40 35B50 PDFBibTeX XMLCite \textit{R. Lui}, J. Math. Biol. 29, No. 3, 239--250 (1991; Zbl 0741.92012) Full Text: DOI
Keener, James P. An eikonal-curvature equation for action potential propagation in myocardium. (English) Zbl 0744.92015 J. Math. Biol. 29, No. 7, 629-651 (1991). Reviewer: J.Henry (Le Chesnay) MSC: 92C30 35Q92 92C05 35K60 35B99 35B20 PDFBibTeX XMLCite \textit{J. P. Keener}, J. Math. Biol. 29, No. 7, 629--651 (1991; Zbl 0744.92015) Full Text: DOI
Colli Franzone, Piero; Guerri, Luciano; Rovida, S. Wavefront propagation in an activation model of the anisotropic cardiac tissue: Asymptotic analysis and numerical simulations. (English) Zbl 0733.92006 J. Math. Biol. 28, No. 2, 121-176 (1990). Reviewer: N.Vulchanov (Gabrovo) MSC: 92C30 35Q92 65M06 35K60 35B25 35J65 PDFBibTeX XMLCite \textit{P. Colli Franzone} et al., J. Math. Biol. 28, No. 2, 121--176 (1990; Zbl 0733.92006) Full Text: DOI
Cerrai, P. On a mathematical model for body tissue inflammation. (English) Zbl 0727.92009 J. Math. Biol. 27, No. 6, 693-706 (1989). Reviewer: J.Cronin (New Brunswick) MSC: 92C50 35K57 35K60 92C30 35Q92 PDFBibTeX XMLCite \textit{P. Cerrai}, J. Math. Biol. 27, No. 6, 693--706 (1989; Zbl 0727.92009) Full Text: DOI
Kurata, Koji; Kisimoto, Kazuo; Yanagida, Eiji The asymptotic transectional/circumferential homogeneity of the solutions of reaction-diffusion systems in/on cylinder-like domains. (English) Zbl 0716.92006 J. Math. Biol. 27, No. 5, 485-490 (1989). MSC: 92C15 35K57 35Q92 35K20 PDFBibTeX XMLCite \textit{K. Kurata} et al., J. Math. Biol. 27, No. 5, 485--490 (1989; Zbl 0716.92006) Full Text: DOI
Lui, Roger Convergence to constant equilibrium for a density-dependent selection model with diffusion. (English) Zbl 0716.92011 J. Math. Biol. 26, No. 5, 583-592 (1988). MSC: 92D10 35K57 35Q92 35K20 PDFBibTeX XMLCite \textit{R. Lui}, J. Math. Biol. 26, No. 5, 583--592 (1988; Zbl 0716.92011) Full Text: DOI
Sharan, Maithili; Aminataei, A.; Singh, M. P. A numerical study of the nonsteady transport of gases in the pulmonary capillaries. (English) Zbl 0621.92007 J. Math. Biol. 25, 433-452 (1987). MSC: 92Cxx 65M06 65N06 76Z05 PDFBibTeX XMLCite \textit{M. Sharan} et al., J. Math. Biol. 25, 433--452 (1987; Zbl 0621.92007) Full Text: DOI
Arcuri, P.; Murray, J. D. Pattern sensitivity to boundary and initial conditions in reaction- diffusion models. (English) Zbl 0595.92001 J. Math. Biol. 24, 141-165 (1986). Reviewer: J.Hodgson MSC: 92B05 35B35 35K50 35K45 65C20 PDFBibTeX XMLCite \textit{P. Arcuri} and \textit{J. D. Murray}, J. Math. Biol. 24, 141--165 (1986; Zbl 0595.92001) Full Text: DOI
Bertsch, M.; Gurtin, M. E.; Hilhorst, D.; Peletier, L. A. On interacting populations that disperse to avoid crowding: preservation of segregation. (English) Zbl 0596.35074 J. Math. Biol. 23, 1-13 (1985). Reviewer: V.Sree Hari Rao MSC: 35K65 35K50 92D25 35B40 PDFBibTeX XMLCite \textit{M. Bertsch} et al., J. Math. Biol. 23, 1--13 (1985; Zbl 0596.35074) Full Text: DOI
Murray, J. D.; Sperb, R. P. Minimum domains for spatial patterns in a class of reaction diffusion equations. (English) Zbl 0526.92013 J. Math. Biol. 18, 169-184 (1983). MSC: 92D25 35B40 35K60 PDFBibTeX XMLCite \textit{J. D. Murray} and \textit{R. P. Sperb}, J. Math. Biol. 18, 169--184 (1983; Zbl 0526.92013) Full Text: DOI
Kishimoto, K.; Mimura, M.; Yoshida, K. Stable spatio-temporal oscillations of diffusive Lotka-Volterra system with three or more species. (English) Zbl 0521.92018 J. Math. Biol. 18, 213-221 (1983). MSC: 92D25 35B35 35B32 35K20 PDFBibTeX XMLCite \textit{K. Kishimoto} et al., J. Math. Biol. 18, 213--221 (1983; Zbl 0521.92018) Full Text: DOI
Hunding, A. Bifurcations of nonlinear reaction-diffusion systems in prolate spheroids. (English) Zbl 0506.92001 J. Math. Biol. 17, 223-239 (1983). MSC: 92B05 65Z05 35B35 35K35 35B32 PDFBibTeX XMLCite \textit{A. Hunding}, J. Math. Biol. 17, 223--239 (1983; Zbl 0506.92001) Full Text: DOI
Manoranjan, V. S.; Mitchell, A. R. A numerical study of the Belousov-Zhabotinskii reaction using Galerkin finite element methods. (English) Zbl 0505.65064 J. Math. Biol. 16, 251-260 (1983). MSC: 65Z05 65N30 92Exx 80A32 35K60 PDFBibTeX XMLCite \textit{V. S. Manoranjan} and \textit{A. R. Mitchell}, J. Math. Biol. 16, 251--260 (1983; Zbl 0505.65064) Full Text: DOI
Eilbeck, J. C. A collocation approach to the numerical calculation of simple gradients in reaction-diffusion systems. (English) Zbl 0503.65073 J. Math. Biol. 16, 233-249 (1983). MSC: 65Z05 65N35 92C50 35K60 PDFBibTeX XMLCite \textit{J. C. Eilbeck}, J. Math. Biol. 16, 233--249 (1983; Zbl 0503.65073) Full Text: DOI
Yanagida, Eiji Stability of stationary distributions in a space-dependent population growth process. (English) Zbl 0505.92017 J. Math. Biol. 15, 37-50 (1982). MSC: 92D25 35K55 35B35 35K20 PDFBibTeX XMLCite \textit{E. Yanagida}, J. Math. Biol. 15, 37--50 (1982; Zbl 0505.92017) Full Text: DOI
Schiaffino, Andrea; Tesei, Alberto Competition systems with Dirichlet boundary conditions. (English) Zbl 0498.92015 J. Math. Biol. 15, 93-105 (1982). MSC: 92D25 35K55 35K50 35B35 35B40 PDFBibTeX XMLCite \textit{A. Schiaffino} and \textit{A. Tesei}, J. Math. Biol. 15, 93--105 (1982; Zbl 0498.92015) Full Text: DOI
Miura, Robert M. Accurate computation of the stable solitary wave for the FitzHugh-Nagumo equations. (English) Zbl 0479.92005 J. Math. Biol. 13, 247-269 (1982). MSC: 92Cxx 65N35 65Z05 65N15 35K60 35K20 PDFBibTeX XMLCite \textit{R. M. Miura}, J. Math. Biol. 13, 247--269 (1982; Zbl 0479.92005) Full Text: DOI
Capasso, V.; Maddalena, L. Convergence to equilibrium states for a reaction-diffusion system modelling the spatial spread of a class of bacterial and viral diseases. (English) Zbl 0468.92016 J. Math. Biol. 13, 173-184 (1981). MSC: 92D25 35K40 35K55 PDFBibTeX XMLCite \textit{V. Capasso} and \textit{L. Maddalena}, J. Math. Biol. 13, 173--184 (1981; Zbl 0468.92016) Full Text: DOI
Conley, C. An application of Wazewski’s method to a non-linear boundary value problem which arises in population genetics. (English) Zbl 0314.92004 J. Math. Biol. 2, 241-249 (1975). MSC: 92D10 35B30 35K60 PDFBibTeX XMLCite \textit{C. Conley}, J. Math. Biol. 2, 241--249 (1975; Zbl 0314.92004) Full Text: DOI