Mesk, Mohammed; Moussaoui, Ali On an upper bound for the spreading speed. (English) Zbl 1501.92122 Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 3897-3912 (2022). MSC: 92D25 92D40 35K57 45K05 PDFBibTeX XMLCite \textit{M. Mesk} and \textit{A. Moussaoui}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 7, 3897--3912 (2022; Zbl 1501.92122) Full Text: DOI
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R. Spreading speeds of rabies with territorial and diffusing rabid foxes. (English) Zbl 1433.92048 Discrete Contin. Dyn. Syst., Ser. B 25, No. 6, 2143-2183 (2020). MSC: 92D30 45K05 45M99 PDFBibTeX XMLCite \textit{K. M. Alanazi} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 6, 2143--2183 (2020; Zbl 1433.92048) Full Text: DOI
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R. Numerical simulations of spread of rabies in a spatially distributed fox population. (English) Zbl 07316644 Math. Comput. Simul. 159, 161-182 (2019). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. M. Alanazi} et al., Math. Comput. Simul. 159, 161--182 (2019; Zbl 07316644) Full Text: DOI
Ninomiya, Hirokazu; Yanagida, Eiji Dynamics of interfaces in the Fisher-KPP equation for slowly decaying initial data. (English) Zbl 1419.35112 J. Differ. Equations 267, No. 8, 4922-4947 (2019). Reviewer: Andrey Zahariev (Plovdiv) MSC: 35K57 35F21 PDFBibTeX XMLCite \textit{H. Ninomiya} and \textit{E. Yanagida}, J. Differ. Equations 267, No. 8, 4922--4947 (2019; Zbl 1419.35112) Full Text: DOI
Liu, Benjamin R.; Kot, Mark Accelerating invasions and the asymptotics of fat-tailed dispersal. (English) Zbl 1412.92262 J. Theor. Biol. 471, 22-41 (2019). MSC: 92D25 92D40 PDFBibTeX XMLCite \textit{B. R. Liu} and \textit{M. Kot}, J. Theor. Biol. 471, 22--41 (2019; Zbl 1412.92262) Full Text: DOI Link
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R. Numerical simulations of the spread of rabies in two-dimensional space. (English) Zbl 1404.65132 Appl. Numer. Math. 135, 87-98 (2019). MSC: 65M20 65L06 35Q92 92D25 PDFBibTeX XMLCite \textit{K. M. Alanazi} et al., Appl. Numer. Math. 135, 87--98 (2019; Zbl 1404.65132) Full Text: DOI
Gordillo, L. F.; Jordan, S. Influence of resistant varieties on the speed of propagation of simple epidemics in crops. (English) Zbl 1361.92067 Appl. Math. Lett. 68, 129-134 (2017). MSC: 92D30 35C07 PDFBibTeX XMLCite \textit{L. F. Gordillo} and \textit{S. Jordan}, Appl. Math. Lett. 68, 129--134 (2017; Zbl 1361.92067) Full Text: DOI
Duncan, Jacob P.; Powell, James A. Analytic approximation of invasion wave amplitude predicts severity of insect outbreaks. (English) Zbl 1366.92103 SIAM J. Appl. Math. 77, No. 1, 294-314 (2017). MSC: 92D25 35C07 PDFBibTeX XMLCite \textit{J. P. Duncan} and \textit{J. A. Powell}, SIAM J. Appl. Math. 77, No. 1, 294--314 (2017; Zbl 1366.92103) Full Text: DOI
Levere, Kimberly M. Changes in habitat of fish populations: an inverse problem. (English) Zbl 1346.92078 Math. Biosci. 278, 48-55 (2016). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{K. M. Levere}, Math. Biosci. 278, 48--55 (2016; Zbl 1346.92078) Full Text: DOI
Jacobs, G. S.; Sluckin, T. J. Long-range dispersal, stochasticity and the broken accelerating wave of advance. (English) Zbl 1331.92126 Theor. Popul. Biol. 100, 39-55 (2015). MSC: 92D25 92D10 91D20 PDFBibTeX XMLCite \textit{G. S. Jacobs} and \textit{T. J. Sluckin}, Theor. Popul. Biol. 100, 39--55 (2015; Zbl 1331.92126) Full Text: DOI arXiv Link
Gilbert, Mark A.; White, Steven M.; Bullock, James M.; Gaffney, Eamonn A. Spreading speeds for stage structured plant populations in fragmented landscapes. (English) Zbl 1412.92308 J. Theor. Biol. 349, 135-149 (2014). MSC: 92D40 92D25 PDFBibTeX XMLCite \textit{M. A. Gilbert} et al., J. Theor. Biol. 349, 135--149 (2014; Zbl 1412.92308) Full Text: DOI Link
Cannon, John R.; Galiffa, Daniel J. An existence theorem for a nonlocal global pandemic model for insect-borne diseases. (English) Zbl 1303.35114 Int. J. Differ. Equ. 2014, Article ID 187685, 10 p. (2014). MSC: 35Q92 35R09 35R10 92D30 35D30 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{D. J. Galiffa}, Int. J. Differ. Equ. 2014, Article ID 187685, 10 p. (2014; Zbl 1303.35114) Full Text: DOI
Weng, Peixuan; Zou, Xingfu Minimal wave speed and spread speed of competing pioneer and climax species. (English) Zbl 1296.35085 Appl. Anal. 93, No. 10, 2093-2110 (2014). MSC: 35K57 35Q92 35K40 35K58 92D25 PDFBibTeX XMLCite \textit{P. Weng} and \textit{X. Zou}, Appl. Anal. 93, No. 10, 2093--2110 (2014; Zbl 1296.35085) Full Text: DOI
Kawasaki, Kohkichi; Asano, Keisuke; Shigesada, Nanako Impact of directed movement on invasive spread in periodic patchy environments. (English) Zbl 1251.92041 Bull. Math. Biol. 74, No. 6, 1448-1467 (2012). MSC: 92D40 35Q92 35C07 35K57 PDFBibTeX XMLCite \textit{K. Kawasaki} et al., Bull. Math. Biol. 74, No. 6, 1448--1467 (2012; Zbl 1251.92041) Full Text: DOI
Zhao, Xiao-Qiang Global dynamics of a reaction and diffusion model for Lyme disease. (English) Zbl 1252.35076 J. Math. Biol. 65, No. 4, 787-808 (2012). MSC: 35B40 35K57 37C65 92D30 PDFBibTeX XMLCite \textit{X.-Q. Zhao}, J. Math. Biol. 65, No. 4, 787--808 (2012; Zbl 1252.35076) Full Text: DOI
Lin, Guo Asymptotic spreading fastened by inter-specific coupled nonlinearities: a cooperative system. (English) Zbl 1248.35099 Physica D 241, No. 6, 705-710 (2012). MSC: 35K57 35B51 35K45 35K58 PDFBibTeX XMLCite \textit{G. Lin}, Physica D 241, No. 6, 705--710 (2012; Zbl 1248.35099) Full Text: DOI arXiv
Lutscher, Frithjof; Seo, Gunog The effect of temporal variability on persistence conditions in rivers. (English) Zbl 1397.92586 J. Theor. Biol. 283, 53-59 (2011). MSC: 92D25 92D40 35Q92 35K57 PDFBibTeX XMLCite \textit{F. Lutscher} and \textit{G. Seo}, J. Theor. Biol. 283, 53--59 (2011; Zbl 1397.92586) 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
Hamel, François; Fayard, Julien; Roques, Lionel Spreading speeds in slowly oscillating environments. (English) Zbl 1197.92044 Bull. Math. Biol. 72, No. 5, 1166-1191 (2010). MSC: 92D40 35Q92 35K57 PDFBibTeX XMLCite \textit{F. Hamel} et al., Bull. Math. Biol. 72, No. 5, 1166--1191 (2010; Zbl 1197.92044) Full Text: DOI
Wu, Shi-Liang; Liu, San-Yang Asymptotic speed of spread and traveling fronts for a nonlocal reaction-diffusion model with distributed delay. (English) Zbl 1205.35150 Appl. Math. Modelling 33, No. 6, 2757-2765 (2009). MSC: 35K57 92D30 35B40 35K45 PDFBibTeX XMLCite \textit{S.-L. Wu} and \textit{S.-Y. Liu}, Appl. Math. Modelling 33, No. 6, 2757--2765 (2009; Zbl 1205.35150) Full Text: DOI
Méndez, Vicenç; Campos, Daniel; Sheppard, Andy W. A model for plant invasions: the role of distributed generation times. (English) Zbl 1173.92036 Bull. Math. Biol. 71, No. 7, 1727-1744 (2009). MSC: 92D40 60-XX 92C80 PDFBibTeX XMLCite \textit{V. Méndez} et al., Bull. Math. Biol. 71, No. 7, 1727--1744 (2009; Zbl 1173.92036) Full Text: DOI
Li, Tong; Li, Yi; Hethcote, Herbert W. Periodic traveling waves in SIRS endemic models. (English) Zbl 1165.35311 Math. Comput. Modelling 49, No. 1-2, 393-401 (2009). MSC: 35B10 92D30 35K57 37N25 PDFBibTeX XMLCite \textit{T. Li} et al., Math. Comput. Modelling 49, No. 1--2, 393--401 (2009; Zbl 1165.35311) Full Text: DOI Link
Cardone, A.; Messina, E.; Vecchio, A. An adaptive method for Volterra-Fredholm integral equations on the half line. (English) Zbl 1184.65119 J. Comput. Appl. Math. 228, No. 2, 538-547 (2009). Reviewer: Pat Lumb (Chester) MSC: 65R20 65Y05 45B05 45D05 PDFBibTeX XMLCite \textit{A. Cardone} et al., J. Comput. Appl. Math. 228, No. 2, 538--547 (2009; Zbl 1184.65119) 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
Wang, Kaifa; Wang, Wendi Propagation of HBV with spatial dependence. (English) Zbl 1129.92052 Math. Biosci. 210, No. 1, 78-95 (2007). MSC: 92C60 34C60 65C20 PDFBibTeX XMLCite \textit{K. Wang} and \textit{W. Wang}, Math. Biosci. 210, No. 1, 78--95 (2007; Zbl 1129.92052) Full Text: DOI
Krkošek, Martin; Lauzon-Guay, Jean-Sébastien; Lewis, Mark A. Relating dispersal and range expansion of California sea otters. (English) Zbl 1125.92057 Theor. Popul. Biol. 71, No. 4, 401-407 (2007). MSC: 92D40 45M99 PDFBibTeX XMLCite \textit{M. Krkošek} et al., Theor. Popul. Biol. 71, No. 4, 401--407 (2007; Zbl 1125.92057) Full Text: DOI
Hilker, Frank M.; Langlais, Michel; Petrovskii, Sergei V.; Malchow, Horst A diffusive SI model with Allee effect and application to FIV. (English) Zbl 1124.92044 Math. Biosci. 206, No. 1, 61-80 (2007). MSC: 92D30 35K57 92C60 PDFBibTeX XMLCite \textit{F. M. Hilker} et al., Math. Biosci. 206, No. 1, 61--80 (2007; Zbl 1124.92044) Full Text: DOI
O’Malley, Lauren; Basham, James; Yasi, Joseph A.; Korniss, G.; Allstadt, Andrew; Caraco, Thomas Invasive advance of an advantageous mutation: nucleation theory. (English) Zbl 1118.92046 Theor. Popul. Biol. 70, No. 4, 464-478 (2006). MSC: 92D15 92D40 82D99 PDFBibTeX XMLCite \textit{L. O'Malley} et al., Theor. Popul. Biol. 70, No. 4, 464--478 (2006; Zbl 1118.92046) Full Text: DOI arXiv
Huang, Yunxin How do cross-migration models arise? (English) Zbl 1065.92059 Math. Biosci. 195, No. 2, 127-140 (2005). MSC: 92D40 34D15 PDFBibTeX XMLCite \textit{Y. Huang}, Math. Biosci. 195, No. 2, 127--140 (2005; Zbl 1065.92059) Full Text: DOI
Thieme, Horst R.; Zhao, Xiao-Qiang Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction–diffusion models. (English) Zbl 1045.45009 J. Differ. Equations 195, No. 2, 430-470 (2003). Reviewer: J. Banaś (Rzeszów) MSC: 45G10 35K57 92D25 45M05 45M20 35R10 PDFBibTeX XMLCite \textit{H. R. Thieme} and \textit{X.-Q. Zhao}, J. Differ. Equations 195, No. 2, 430--470 (2003; Zbl 1045.45009) Full Text: DOI
Medlock, Jan; Kot, Mark Spreading disease: Integro-differential equations old and new. (English) Zbl 1036.92030 Math. Biosci. 184, No. 2, 201-222 (2003). MSC: 92D30 45K05 65R20 PDFBibTeX XMLCite \textit{J. Medlock} and \textit{M. Kot}, Math. Biosci. 184, No. 2, 201--222 (2003; Zbl 1036.92030) Full Text: DOI
Bauch, Chris T.; Galvani, Alison P. Using network models to approximate spatial point-process models. (English) Zbl 1016.92034 Math. Biosci. 184, No. 1, 101-114 (2003). MSC: 92D30 60G55 60G35 92B05 PDFBibTeX XMLCite \textit{C. T. Bauch} and \textit{A. P. Galvani}, Math. Biosci. 184, No. 1, 101--114 (2003; Zbl 1016.92034) Full Text: DOI
Cannas, Sergio A.; Marco, Diana E.; Páez, Sergio A. Modelling biological invasions: Species traits, species interactions, and habitat heterogeneity. (English) Zbl 1011.92043 Math. Biosci. 183, No. 1, 93-110 (2003). MSC: 92D40 PDFBibTeX XMLCite \textit{S. A. Cannas} et al., Math. Biosci. 183, No. 1, 93--110 (2003; Zbl 1011.92043) Full Text: DOI
Wang, Mei-Hui; Kot, Mark Speeds of invasion in a model with strong or weak Allee effects. (English) Zbl 0978.92033 Math. Biosci. 171, No. 1, 83-97 (2001). MSC: 92D40 35Q92 35K57 PDFBibTeX XMLCite \textit{M.-H. Wang} and \textit{M. Kot}, Math. Biosci. 171, No. 1, 83--97 (2001; Zbl 0978.92033) Full Text: DOI
Cruickshank, Isla; Gurney, William S. C.; Veitch, A. Roy The characteristics of epidemics and invasion with thresholds. (English) Zbl 0963.92034 Theor. Popul. Biol. 56, No. 3, 279-292 (1999). MSC: 92D30 35K57 65N99 PDFBibTeX XMLCite \textit{I. Cruickshank} et al., Theor. Popul. Biol. 56, No. 3, 279--292 (1999; Zbl 0963.92034) Full Text: DOI
Matis, James H.; Zheng, Qi; Kiffe, Thomas R. Describing the spread of biological populations using stochastic compartmental models with births. (English) Zbl 0818.92024 Math. Biosci. 126, No. 2, 215-247 (1995). MSC: 92D40 60J20 PDFBibTeX XMLCite \textit{J. H. Matis} et al., Math. Biosci. 126, No. 2, 215--247 (1995; Zbl 0818.92024) Full Text: DOI
Mollison, Denis; Daniels, Henry The “deterministic simple epidemic” unmasked. (English) Zbl 0785.92026 Math. Biosci. 117, No. 1-2, 147-153 (1993). MSC: 92D30 60J85 PDFBibTeX XMLCite \textit{D. Mollison} and \textit{H. Daniels}, Math. Biosci. 117, No. 1--2, 147--153 (1993; Zbl 0785.92026) Full Text: DOI
Ball, Frank G. Dynamic population epidemic models. (English) Zbl 0747.92025 Math. Biosci. 107, No. 2, 299-324 (1991). Reviewer: P.R.Parthasarathy (Madras) MSC: 92D30 PDFBibTeX XMLCite \textit{F. G. Ball}, Math. Biosci. 107, No. 2, 299--324 (1991; Zbl 0747.92025) Full Text: DOI
Mollison, Denis Dependence of epidemic and population velocities on basic parameters. (English) Zbl 0743.92029 Math. Biosci. 107, No. 2, 255-287 (1991). MSC: 92D30 92D40 PDFBibTeX XMLCite \textit{D. Mollison}, Math. Biosci. 107, No. 2, 255--287 (1991; Zbl 0743.92029) Full Text: DOI