Li, Bingtuan; Otto, Garrett Spread and persistence for integro-difference equations with shifting habitat and strong Allee effect. (English) Zbl 07813265 J. Math. Biol. 88, No. 3, Paper No. 35, 28 p. (2024). MSC: 92D40 92D25 39A99 PDFBibTeX XMLCite \textit{B. Li} and \textit{G. Otto}, J. Math. Biol. 88, No. 3, Paper No. 35, 28 p. (2024; Zbl 07813265) Full Text: DOI
Gomez, Daniel; Lam, King-Yeung; Mori, Yoichiro Front propagation in the shadow wave-pinning model. (English) Zbl 1512.35374 J. Math. Biol. 86, No. 5, Paper No. 72, 31 p. (2023). MSC: 35K57 35B25 35B30 35B40 PDFBibTeX XMLCite \textit{D. Gomez} et al., J. Math. Biol. 86, No. 5, Paper No. 72, 31 p. (2023; Zbl 1512.35374) Full Text: DOI
Villar-Sepúlveda, Edgardo; Champneys, Alan R. General conditions for Turing and wave instabilities in reaction-diffusion systems. (English) Zbl 1509.35133 J. Math. Biol. 86, No. 3, Paper No. 39, 33 p. (2023); correction ibid. 86, No. 4, Paper No. 57, 1 p. (2023). MSC: 35K57 35B32 35B35 92E20 15A18 PDFBibTeX XMLCite \textit{E. Villar-Sepúlveda} and \textit{A. R. Champneys}, J. Math. Biol. 86, No. 3, Paper No. 39, 33 p. (2023; Zbl 1509.35133) Full Text: DOI
Eigentler, L.; Sherratt, J. A. Long-range seed dispersal enables almost stationary patterns in a model for dryland vegetation. (English) Zbl 1505.92254 J. Math. Biol. 86, No. 1, Paper No. 15, 28 p. (2023). MSC: 92D40 35C07 92C15 PDFBibTeX XMLCite \textit{L. Eigentler} and \textit{J. A. Sherratt}, J. Math. Biol. 86, No. 1, Paper No. 15, 28 p. (2023; Zbl 1505.92254) 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
Bakker, Bente Hilde; Faver, Timothy E.; Hupkes, Hermen Jan; Merks, Roeland M. H.; van der Voort, Jelle Scaling relations for auxin waves. (English) Zbl 1505.34069 J. Math. Biol. 85, No. 4, Paper No. 41, 72 p. (2022). MSC: 34C60 34A33 92C37 34B40 35C07 PDFBibTeX XMLCite \textit{B. H. Bakker} et al., J. Math. Biol. 85, No. 4, Paper No. 41, 72 p. (2022; Zbl 1505.34069) Full Text: DOI arXiv
Ketcheson, David I. Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention. (English) Zbl 1467.92206 J. Math. Biol. 83, No. 1, Paper No. 7, 21 p. (2021). MSC: 92D30 34H05 49N90 92-10 49L12 PDFBibTeX XMLCite \textit{D. I. Ketcheson}, J. Math. Biol. 83, No. 1, Paper No. 7, 21 p. (2021; Zbl 1467.92206) Full Text: DOI arXiv
Gai, Chunyi; Iron, David; Kolokolnikov, Theodore Localized outbreaks in an S-I-R model with diffusion. (English) Zbl 1439.35490 J. Math. Biol. 80, No. 5, 1389-1411 (2020). MSC: 35Q92 35B36 92D25 92C15 PDFBibTeX XMLCite \textit{C. Gai} et al., J. Math. Biol. 80, No. 5, 1389--1411 (2020; Zbl 1439.35490) Full Text: DOI
Loy, Nadia; Preziosi, Luigi Kinetic models with non-local sensing determining cell polarization and speed according to independent cues. (English) Zbl 1432.92020 J. Math. Biol. 80, No. 1-2, 373-421 (2020). MSC: 92C17 92C37 35Q92 PDFBibTeX XMLCite \textit{N. Loy} and \textit{L. Preziosi}, J. Math. Biol. 80, No. 1--2, 373--421 (2020; Zbl 1432.92020) Full Text: DOI arXiv
Tian, Chenwei; Shi, Qingyan; Cui, Xinping; Guo, Jingzhe; Yang, Zhenbiao; Shi, Junping Spatiotemporal dynamics of a reaction-diffusion model of pollen tube tip growth. (English) Zbl 1425.92028 J. Math. Biol. 79, No. 4, 1319-1355 (2019). MSC: 92C15 92C80 35K57 35B36 35B32 35Q92 PDFBibTeX XMLCite \textit{C. Tian} et al., J. Math. Biol. 79, No. 4, 1319--1355 (2019; Zbl 1425.92028) Full Text: DOI
Wang, Xiaoying; Lutscher, Frithjof Turing patterns in a predator-prey model with seasonality. (English) Zbl 1408.35218 J. Math. Biol. 78, No. 3, 711-737 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35R12 35B36 92C15 35K57 35Q92 92D25 PDFBibTeX XMLCite \textit{X. Wang} and \textit{F. Lutscher}, J. Math. Biol. 78, No. 3, 711--737 (2019; Zbl 1408.35218) Full Text: DOI
Eigentler, Lukas; Sherratt, Jonathan A. Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal. (English) Zbl 1453.35025 J. Math. Biol. 77, No. 3, 739-763 (2018). Reviewer: Vladimir V. Kisil (Leeds) MSC: 35B36 35R09 35C07 35Q92 35K57 PDFBibTeX XMLCite \textit{L. Eigentler} and \textit{J. A. Sherratt}, J. Math. Biol. 77, No. 3, 739--763 (2018; Zbl 1453.35025) Full Text: DOI arXiv
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui Traveling wave solutions in a two-group SIR epidemic model with constant recruitment. (English) Zbl 1406.35445 J. Math. Biol. 77, No. 6-7, 1871-1915 (2018). MSC: 35Q92 35C07 35B40 35K57 92D30 PDFBibTeX XMLCite \textit{L. Zhao} et al., J. Math. Biol. 77, No. 6--7, 1871--1915 (2018; Zbl 1406.35445) Full Text: DOI
Brightwell, Graham; House, Thomas; Luczak, Malwina Extinction times in the subcritical stochastic SIS logistic epidemic. (English) Zbl 1394.60080 J. Math. Biol. 77, No. 2, 455-493 (2018). MSC: 60J27 92D30 PDFBibTeX XMLCite \textit{G. Brightwell} et al., J. Math. Biol. 77, No. 2, 455--493 (2018; Zbl 1394.60080) Full Text: DOI arXiv Link
Li, Bingtuan Multiple invasion speeds in a two-species integro-difference competition model. (English) Zbl 1390.92114 J. Math. Biol. 76, No. 7, 1975-2009 (2018). MSC: 92D25 92D40 39A60 PDFBibTeX XMLCite \textit{B. Li}, J. Math. Biol. 76, No. 7, 1975--2009 (2018; Zbl 1390.92114) Full Text: DOI
Evans, Ryan M.; Edwards, David A. Receptor heterogeneity in optical biosensors. (English) Zbl 1392.92030 J. Math. Biol. 76, No. 4, 795-816 (2018). MSC: 92C45 35Q92 41A60 65D25 65D30 PDFBibTeX XMLCite \textit{R. M. Evans} and \textit{D. A. Edwards}, J. Math. Biol. 76, No. 4, 795--816 (2018; Zbl 1392.92030) Full Text: DOI
Lombardo, M. C.; Barresi, R.; Bilotta, E.; Gargano, F.; Pantano, P.; Sammartino, M. Demyelination patterns in a mathematical model of multiple sclerosis. (English) Zbl 1378.92034 J. Math. Biol. 75, No. 2, 373-417 (2017). MSC: 92C50 92C17 35Q92 92C40 35B36 PDFBibTeX XMLCite \textit{M. C. Lombardo} et al., J. Math. Biol. 75, No. 2, 373--417 (2017; Zbl 1378.92034) Full Text: DOI
Armbruster, Benjamin; Beck, Ekkehard Elementary proof of convergence to the mean-field model for the SIR process. (English) Zbl 1403.92284 J. Math. Biol. 75, No. 2, 327-339 (2017). MSC: 92D30 60J28 PDFBibTeX XMLCite \textit{B. Armbruster} and \textit{E. Beck}, J. Math. Biol. 75, No. 2, 327--339 (2017; Zbl 1403.92284) Full Text: DOI arXiv
Marciniak-Czochra, Anna; Karch, Grzegorz; Suzuki, Kanako Instability of Turing patterns in reaction-diffusion-ODE systems. (English) Zbl 1356.35043 J. Math. Biol. 74, No. 3, 583-618 (2017). MSC: 35B36 35K57 92C15 35B35 PDFBibTeX XMLCite \textit{A. Marciniak-Czochra} et al., J. Math. Biol. 74, No. 3, 583--618 (2017; Zbl 1356.35043) Full Text: DOI arXiv Link
Xue, Chuan; Yang, Xige Moment-flux models for bacterial chemotaxis in large signal gradients. (English) Zbl 1360.92021 J. Math. Biol. 73, No. 4, 977-1000 (2016). MSC: 92C17 35Q92 PDFBibTeX XMLCite \textit{C. Xue} and \textit{X. Yang}, J. Math. Biol. 73, No. 4, 977--1000 (2016; Zbl 1360.92021) Full Text: DOI
Wolkowicz, Gail S. K.; Yuan, Yuan Effect of light on the growth of non-nitrogen-fixing and nitrogen-fixing phytoplankton in an aquatic system. (English) Zbl 1341.34055 J. Math. Biol. 72, No. 6, 1663-1692 (2016). MSC: 34C60 34D20 34D05 92D25 34C23 34C05 34C28 PDFBibTeX XMLCite \textit{G. S. K. Wolkowicz} and \textit{Y. Yuan}, J. Math. Biol. 72, No. 6, 1663--1692 (2016; Zbl 1341.34055) Full Text: DOI
Gou, Kun; Pence, Thomas J. Hyperelastic modeling of swelling in fibrous soft tissue with application to tracheal angioedema. (English) Zbl 1330.74020 J. Math. Biol. 72, No. 1-2, 499-526 (2016). MSC: 74B20 74E10 74L15 92C10 PDFBibTeX XMLCite \textit{K. Gou} and \textit{T. J. Pence}, J. Math. Biol. 72, No. 1--2, 499--526 (2016; Zbl 1330.74020) Full Text: DOI
Zumbrum, Matthew E.; Edwards, David A. Conformal mapping in optical biosensor applications. (English) Zbl 1326.35410 J. Math. Biol. 71, No. 3, 533-550 (2015). Reviewer: Piotr Biler (Wroclaw) MSC: 35Q92 92C45 30C20 35C20 PDFBibTeX XMLCite \textit{M. E. Zumbrum} and \textit{D. A. Edwards}, J. Math. Biol. 71, No. 3, 533--550 (2015; Zbl 1326.35410) Full Text: DOI
Li, Bingtuan; Fagan, William F.; Meyer, Kimberly I. Success, failure, and spreading speeds for invasions on spatial gradients. (English) Zbl 1306.92065 J. Math. Biol. 70, No. 1-2, 265-287 (2015). Reviewer: E. Ahmed (Mansoura) MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{B. Li} et al., J. Math. Biol. 70, No. 1--2, 265--287 (2015; Zbl 1306.92065) Full Text: DOI
Kloosterman, Matt; Campbell, Sue Ann; Poulin, Francis J. A closed NPZ model with delayed nutrient recycling. (English) Zbl 1351.37275 J. Math. Biol. 68, No. 4, 815-850 (2014). MSC: 37N25 92B05 PDFBibTeX XMLCite \textit{M. Kloosterman} et al., J. Math. Biol. 68, No. 4, 815--850 (2014; Zbl 1351.37275) Full Text: DOI
Wang, Xuefeng; Xu, Qian Spiky and transition layer steady states of chemotaxis systems via global bifurcation and Helly’s compactness theorem. (English) Zbl 1301.92006 J. Math. Biol. 66, No. 6, 1241-1266 (2013). MSC: 92C17 35B32 35J67 35B41 26A48 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Q. Xu}, J. Math. Biol. 66, No. 6, 1241--1266 (2013; Zbl 1301.92006) Full Text: DOI
Li, Bingtuan Traveling wave solutions in a plant population model with a seed bank. (English) Zbl 1251.92042 J. Math. Biol. 65, No. 5, 855-873 (2012). MSC: 92D40 39B99 39A60 65C20 PDFBibTeX XMLCite \textit{B. Li}, J. Math. Biol. 65, No. 5, 855--873 (2012; Zbl 1251.92042) Full Text: DOI
Crawford, Forrest W.; Suchard, Marc A. Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution. (English) Zbl 1252.92053 J. Math. Biol. 65, No. 3, 553-580 (2012). MSC: 92D40 92D15 60J80 60J85 60J27 PDFBibTeX XMLCite \textit{F. W. Crawford} and \textit{M. A. Suchard}, J. Math. Biol. 65, No. 3, 553--580 (2012; Zbl 1252.92053) Full Text: DOI arXiv
Eftimie, Raluca Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review. (English) Zbl 1252.92012 J. Math. Biol. 65, No. 1, 35-75 (2012). MSC: 92C17 35L40 60J85 92D50 PDFBibTeX XMLCite \textit{R. Eftimie}, J. Math. Biol. 65, No. 1, 35--75 (2012; Zbl 1252.92012) Full Text: DOI
Wei, Juncheng; Winter, Matthias Flow-distributed spikes for Schnakenberg kinetics. (English) Zbl 1284.35233 J. Math. Biol. 64, No. 1-2, 211-254 (2012). MSC: 35K57 92E20 76E06 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Math. Biol. 64, No. 1--2, 211--254 (2012; Zbl 1284.35233) Full Text: DOI
Lin, Guo; Li, Wan-Tong; Ruan, Shigui Spreading speeds and traveling waves in competitive recursion systems. (English) Zbl 1232.92072 J. Math. Biol. 62, No. 2, 165-201 (2011). MSC: 92D40 39A60 39B99 46N60 92D25 PDFBibTeX XMLCite \textit{G. Lin} et al., J. Math. Biol. 62, No. 2, 165--201 (2011; Zbl 1232.92072) Full Text: DOI
Band, L. R.; Cummings, L. J.; Waters, S. L.; Wattis, J. A. D. Modelling crystal aggregation and deposition in the catheterised lower urinary tract. (English) Zbl 1232.92051 J. Math. Biol. 59, No. 6, 809-840 (2009). MSC: 92C50 35Q92 65C20 93A30 PDFBibTeX XMLCite \textit{L. R. Band} et al., J. Math. Biol. 59, No. 6, 809--840 (2009; Zbl 1232.92051) Full Text: DOI
Lutscher, Frithjof Density-dependent dispersal in integrodifference equations. (English) Zbl 1143.92038 J. Math. Biol. 56, No. 4, 499-524 (2008). MSC: 92D40 39A11 45M99 37N25 PDFBibTeX XMLCite \textit{F. Lutscher}, J. Math. Biol. 56, No. 4, 499--524 (2008; Zbl 1143.92038) Full Text: DOI
Edwards, David A. Steric hindrance effects on surface reactions: applications to bIAcore. (English) Zbl 1128.35307 J. Math. Biol. 55, No. 4, 517-539 (2007). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35C15 35B20 92C45 35K05 PDFBibTeX XMLCite \textit{D. A. Edwards}, J. Math. Biol. 55, No. 4, 517--539 (2007; Zbl 1128.35307) Full Text: DOI
Sherratt, Jonathan A. An analysis of vegetation stripe formation in semi-arid landscapes. (English) Zbl 1068.92047 J. Math. Biol. 51, No. 2, 183-197 (2005). MSC: 92D40 92C15 92C80 35Q92 PDFBibTeX XMLCite \textit{J. A. Sherratt}, J. Math. Biol. 51, No. 2, 183--197 (2005; Zbl 1068.92047) Full Text: DOI
Gourley, S. A.; Britton, N. F.; Chaplain, M. A. J.; Byrne, H. M. Mechanisms for stabilisation and destabilisation of systems of reaction-diffusion equations. (English) Zbl 0858.92006 J. Math. Biol. 34, No. 8, 857-877 (1996). MSC: 92C15 35K57 92D40 92B05 65C20 PDFBibTeX XMLCite \textit{S. A. Gourley} et al., J. Math. Biol. 34, No. 8, 857--877 (1996; Zbl 0858.92006) Full Text: DOI
Gourley, S. A.; Britton, N. F. A predator-prey reaction-diffusion system with nonlocal effects. (English) Zbl 0840.92018 J. Math. Biol. 34, No. 3, 297-333 (1996). MSC: 92D25 35K57 35B35 35B32 35Q92 PDFBibTeX XMLCite \textit{S. A. Gourley} and \textit{N. F. Britton}, J. Math. Biol. 34, No. 3, 297--333 (1996; Zbl 0840.92018) Full Text: DOI
Sherratt, Jonathan A. Actin aggregation and embryonic epidermal wound healing. (English) Zbl 0777.92009 J. Math. Biol. 31, No. 7, 703-716 (1993). MSC: 92C50 34A99 PDFBibTeX XMLCite \textit{J. A. Sherratt}, J. Math. Biol. 31, No. 7, 703--716 (1993; Zbl 0777.92009) Full Text: DOI
Mazzullo, S.; Paolini, M.; Verdi, C. Numerical simulation of thermal bone necrosis during cementation of femoral prostheses. (English) Zbl 0731.92014 J. Math. Biol. 29, No. 5, 475-494 (1991). Reviewer: Y.Cherruault (Paris) MSC: 92C50 65C20 65M60 65N30 PDFBibTeX XMLCite \textit{S. Mazzullo} et al., J. Math. Biol. 29, No. 5, 475--494 (1991; Zbl 0731.92014) Full Text: DOI
Wollkind, D. J.; Collings, J. B.; Barba, M. C. B. Diffusive instabilities in a one-dimensional temperature-dependent model system for a mite predator-prey interaction on fruit trees: dispersal motility and aggregative preytaxis effects. (English) Zbl 0724.92026 J. Math. Biol. 29, No. 4, 339-362 (1991). Reviewer: M.Lizana (Caracas) MSC: 92D40 PDFBibTeX XMLCite \textit{D. J. Wollkind} et al., J. Math. Biol. 29, No. 4, 339--362 (1991; Zbl 0724.92026) Full Text: DOI