Woldeab, Mebrakhtom Sebkhatu; Rodina, Lyudmila Ivanovna On the exploitation of a population given by a system of linear equations with random parameters. (Russian. English summary) Zbl 1525.37094 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 27-41 (2023). MSC: 37N25 92D25 PDFBibTeX XMLCite \textit{M. S. Woldeab} and \textit{L. I. Rodina}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 27--41 (2023; Zbl 1525.37094) Full Text: DOI MNR
Pickmann-Soto, H.; Arela-Pérez, S.; Nina, Hans; Valero, Elvis Inverse maximal eigenvalues problems for Leslie and doubly Leslie matrices. (English) Zbl 1436.15019 Linear Algebra Appl. 592, 93-112 (2020). MSC: 15A29 15A18 15A42 65F15 65F18 PDFBibTeX XMLCite \textit{H. Pickmann-Soto} et al., Linear Algebra Appl. 592, 93--112 (2020; Zbl 1436.15019) Full Text: DOI
Benvenuti, Luca The inverse eigenvalue problem for Leslie matrices. (English) Zbl 1423.15017 Electron. J. Linear Algebra 35, 319-330 (2019). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A29 15B51 15A18 15A83 PDFBibTeX XMLCite \textit{L. Benvenuti}, Electron. J. Linear Algebra 35, 319--330 (2019; Zbl 1423.15017) Full Text: DOI
Benvenuti, Luca The NIEP for four dimensional Leslie and doubly stochastic matrices with zero trace from the coefficients of the characteristic polynomial. (English) Zbl 1394.15024 Linear Algebra Appl. 544, 286-298 (2018). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 15B51 15A18 15A29 PDFBibTeX XMLCite \textit{L. Benvenuti}, Linear Algebra Appl. 544, 286--298 (2018; Zbl 1394.15024) Full Text: DOI
Taher, R. Ben; Naassi, N.; Rachidi, M. On the Leslie matrices, Fibonacci sequences and population dynamics. (English) Zbl 1511.92059 J. Discrete Math. Sci. Cryptography 20, No. 2, 565-594 (2017). MSC: 92D25 92D40 15A16 11B39 11C20 PDFBibTeX XMLCite \textit{R. B. Taher} et al., J. Discrete Math. Sci. Cryptography 20, No. 2, 565--594 (2017; Zbl 1511.92059) Full Text: DOI
Grosjean, Nicolas; Huillet, Thierry On simple age-structured population models. (English) Zbl 1443.92012 Appl. Math. Modelling 41, 68-82 (2017). MSC: 92-10 92D10 PDFBibTeX XMLCite \textit{N. Grosjean} and \textit{T. Huillet}, Appl. Math. Modelling 41, 68--82 (2017; Zbl 1443.92012) Full Text: DOI
de la Horra, Julián; Marín, J. Miguel; Rodríguez-Bernal, María Teresa Bayesian inference and data cloning in the calibration of population projection matrices. (English) Zbl 1367.92113 Commun. Stat., Simulation Comput. 46, No. 3, 1669-1681 (2017). MSC: 92D25 62F15 62P10 PDFBibTeX XMLCite \textit{J. de la Horra} et al., Commun. Stat., Simulation Comput. 46, No. 3, 1669--1681 (2017; Zbl 1367.92113) Full Text: DOI
Wanicharpichat, Wiwat Explicit minimum polynomial, eigenvector and inverse formula of doubly Leslie matrix. (English) Zbl 1337.15013 J. Appl. Math. Inform. 33, No. 3-4, 247-260 (2015). Reviewer: Mihail Voicu (Iaşi) MSC: 15A18 15B48 15A09 15A15 65F15 65F40 15B05 PDFBibTeX XMLCite \textit{W. Wanicharpichat}, J. Appl. Math. Inform. 33, No. 3--4, 247--260 (2015; Zbl 1337.15013) Full Text: DOI
Alves, João F.; Bravo, António; Oliveira, Henrique M. Population dynamics with infinite Leslie matrices: finite time properties. (English) Zbl 1307.92313 J. Difference Equ. Appl. 20, No. 9, 1307-1318 (2014). MSC: 92D25 15A15 39A06 PDFBibTeX XMLCite \textit{J. F. Alves} et al., J. Difference Equ. Appl. 20, No. 9, 1307--1318 (2014; Zbl 1307.92313) Full Text: DOI arXiv
Kirkland, Stephen J.; Neumann, Michael Group inverses of M-matrices and their applications. (English) Zbl 1267.15004 Boca Raton, FL: CRC Press (ISBN 978-1-4398-8858-2/hbk). xv, 316 p. (2013). Reviewer: Nestor Thome (Valencia) MSC: 15A09 15B52 15B51 60G07 15-02 15B48 60J10 92D25 PDFBibTeX XMLCite \textit{S. J. Kirkland} and \textit{M. Neumann}, Group inverses of M-matrices and their applications. Boca Raton, FL: CRC Press (2013; Zbl 1267.15004)
Caceres, Manuel O. Random evolution in population dynamics. (English) Zbl 1188.37007 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 2, 297-307 (2010). MSC: 37A50 92D25 82C70 PDFBibTeX XMLCite \textit{M. O. Caceres}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 2, 297--307 (2010; Zbl 1188.37007) Full Text: DOI
Gosselin, Frédéric; Lebreton, Jean-Dominique Asymptotic properties of infinite Leslie matrices. (English) Zbl 1400.92432 J. Theor. Biol. 256, No. 2, 157-163 (2009). MSC: 92D25 15B51 PDFBibTeX XMLCite \textit{F. Gosselin} and \textit{J.-D. Lebreton}, J. Theor. Biol. 256, No. 2, 157--163 (2009; Zbl 1400.92432) Full Text: DOI HAL
Kirkland, Steve A cycle-based bound for subdominant eigenvalues of stochastic matrices. (English) Zbl 1168.15015 Linear Multilinear Algebra 57, No. 3, 247-266 (2009). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A42 15B51 05C20 05C50 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Multilinear Algebra 57, No. 3, 247--266 (2009; Zbl 1168.15015) Full Text: DOI Link
Powell, James A.; Slapničar, Ivan; van der Werf, Wopke Epidemic spread of a lesion-forming plant pathogen – analysis of a mechanistic model with infinite age structure. (English) Zbl 1062.92064 Linear Algebra Appl. 398, 117-140 (2005). MSC: 92D30 92C80 92D40 39B99 PDFBibTeX XMLCite \textit{J. A. Powell} et al., Linear Algebra Appl. 398, 117--140 (2005; Zbl 1062.92064) Full Text: DOI
Dame, L. F.; Olesky, D. D.; van den Driessche, P. The exponent and circumdiameter of primitive digraphs. (English) Zbl 1059.05054 Linear Algebra Appl. 396, 243-258 (2005). Reviewer: Wai-Kai Chen (Fremont) MSC: 05C20 05C50 15B48 PDFBibTeX XMLCite \textit{L. F. Dame} et al., Linear Algebra Appl. 396, 243--258 (2005; Zbl 1059.05054) Full Text: DOI
Schreiber, Sebastian J. On Allee effects in structured populations. (English) Zbl 1103.37059 Proc. Am. Math. Soc. 132, No. 10, 3047-3053 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37N25 92D25 37C65 PDFBibTeX XMLCite \textit{S. J. Schreiber}, Proc. Am. Math. Soc. 132, No. 10, 3047--3053 (2004; Zbl 1103.37059) Full Text: DOI
Länger, Helmut Matrices with a strictly dominant eigenvalue. (English) Zbl 1016.15021 Elem. Math. 56, No. 2, 55-61 (2001). Reviewer: T.Nôno (Hiroshima) MSC: 15B52 60J10 15A21 PDFBibTeX XMLCite \textit{H. Länger}, Elem. Math. 56, No. 2, 55--61 (2001; Zbl 1016.15021) Full Text: DOI
Spence, Lawrence E.; Insel, Arnold J.; Friedberg, Stephen H. Elementary linear algebra. A matrix approach. (English) Zbl 0960.15002 Upper Saddle River, NJ: Prentice Hall. xiv, 477 p. (2000). Reviewer: Rabe von Randow (Bonn) MSC: 15-01 15A06 15A04 15A15 15A18 15A21 65F05 65F20 41A05 15A09 15B36 93D25 90B10 92D25 39A10 34A30 60J10 PDFBibTeX XMLCite \textit{L. E. Spence} et al., Elementary linear algebra. A matrix approach. Upper Saddle River, NJ: Prentice Hall (2000; Zbl 0960.15002)
Pick, J. B. Natural and spectral convergence measures of Leslie matrices: Additive norms and the imprimitive cases. (English) Zbl 0897.92027 Math. Comput. Modelling 26, No. 6, 25-37 (1997). MSC: 92D25 15A18 15A60 15A99 PDFBibTeX XMLCite \textit{J. B. Pick}, Math. Comput. Modelling 26, No. 6, 25--37 (1997; Zbl 0897.92027) Full Text: DOI
Grant, Alastair; Benton, Timothy G. The impact of environmental variation on demographic convergence of Leslie matrix population models: An assessment using Lyapunov characteristic exponents. (English) Zbl 0870.92014 Theor. Popul. Biol. 50, No. 1, 18-30 (1996). MSC: 92D25 91D20 15A99 PDFBibTeX XMLCite \textit{A. Grant} and \textit{T. G. Benton}, Theor. Popul. Biol. 50, No. 1, 18--30 (1996; Zbl 0870.92014) Full Text: DOI
Yeargers, Edward K.; Shonkwiler, Ronald W.; Herod, James V. An introduction to the mathematics of biology: with computer algebra models. (English) Zbl 0860.92001 Boston: Birkhäuser. x, 417 p. (1996). Reviewer: C.A.Braumann (Evora) MSC: 92B05 92-01 00A06 92-04 PDFBibTeX XMLCite \textit{E. K. Yeargers} et al., An introduction to the mathematics of biology: with computer algebra models. Boston: Birkhäuser (1996; Zbl 0860.92001)
Cosner, Chris Variability, vagueness and comparison methods for ecological models. (English) Zbl 0878.92029 Bull. Math. Biol. 58, No. 2, 207-246 (1996). MSC: 92D40 39A10 34A99 35K57 PDFBibTeX XMLCite \textit{C. Cosner}, Bull. Math. Biol. 58, No. 2, 207--246 (1996; Zbl 0878.92029) Full Text: DOI
Akkerman, Abraham A problem in household composition. (English) Zbl 0879.92035 Math. Popul. Stud. 6, No. 1, 3-18 (1996). MSC: 91D20 15A99 PDFBibTeX XMLCite \textit{A. Akkerman}, Math. Popul. Stud. 6, No. 1, 3--18 (1996; Zbl 0879.92035) Full Text: DOI
Kirkland, Stephen J.; Neumann, Michael Convexity and concavity of the Perron root and vector of Leslie matrices with applications to a population model. (English) Zbl 0811.15007 SIAM J. Matrix Anal. Appl. 15, No. 4, 1092-1107 (1994). Reviewer: A.L.Andrew (Bundoora) MSC: 15A18 15A54 92D25 15A09 15B48 PDFBibTeX XMLCite \textit{S. J. Kirkland} and \textit{M. Neumann}, SIAM J. Matrix Anal. Appl. 15, No. 4, 1092--1107 (1994; Zbl 0811.15007) Full Text: DOI
Kirkland, Steve On the spectrum of a Leslie matrix with a near-periodic fecundity pattern. (English) Zbl 0762.92015 Linear Algebra Appl. 178, 261-279 (1993). MSC: 92D25 15A18 15A99 PDFBibTeX XMLCite \textit{S. Kirkland}, Linear Algebra Appl. 178, 261--279 (1993; Zbl 0762.92015) Full Text: DOI
Ledermann, W.; Vajda, S. On a problem in population structure. (English) Zbl 0748.92007 Linear Algebra Appl. 166, 97-113 (1992). Reviewer: Y.Yu (Montgomery) MSC: 92D25 15A45 15B51 60J20 PDFBibTeX XMLCite \textit{W. Ledermann} and \textit{S. Vajda}, Linear Algebra Appl. 166, 97--113 (1992; Zbl 0748.92007) Full Text: DOI
Huppert, Bertram Angewandte lineare Algebra. (Applied linear algebra). (German) Zbl 0697.15002 Berlin etc.: Walter de Gruyter. viii, 646 S. DM 198.00 (1990). Reviewer: N.D.Sengupta MSC: 15-02 34A30 60G50 39A10 83A05 90B22 92D25 51A05 PDFBibTeX XMLCite \textit{B. Huppert}, Angewandte lineare Algebra. (Applied linear algebra). Berlin etc.: Walter de Gruyter (1990; Zbl 0697.15002)
Smirnov, A. I. Properties of generalized Leslie matrices and their use in analysis of ecosystems models. (Russian) Zbl 0723.92024 Mathematical modeling of medical and biological systems, Collect. Sci. Works, Sverdlovsk, 87-94 (1988). MSC: 92D40 39A10 PDFBibTeX XML
Fujimoto, Takao; Krause, Ulrich Asymptotic properties for inhomogeneous iterations of nonlinear operators. (English) Zbl 0672.47034 SIAM J. Math. Anal. 19, No. 4, 841-853 (1988). Reviewer: O.John MSC: 47H05 47H10 54H20 92D25 PDFBibTeX XMLCite \textit{T. Fujimoto} and \textit{U. Krause}, SIAM J. Math. Anal. 19, No. 4, 841--853 (1988; Zbl 0672.47034) Full Text: DOI
Dash, A. T.; Cressman, R. Polygamy in human and animal species. (English) Zbl 0661.92016 Math. Biosci. 88, No. 1, 49-66 (1988). Reviewer: J.Peil MSC: 92D25 39A11 39A10 PDFBibTeX XMLCite \textit{A. T. Dash} and \textit{R. Cressman}, Math. Biosci. 88, No. 1, 49--66 (1988; Zbl 0661.92016) Full Text: DOI
Rodin, E. Y.; Williams, R. T. A matrix model of population growth. (English) Zbl 0644.92020 Math. Comput. Modelling 10, No. 4, 299-306 (1988). MSC: 92D25 15A18 PDFBibTeX XMLCite \textit{E. Y. Rodin} and \textit{R. T. Williams}, Math. Comput. Modelling 10, No. 4, 299--306 (1988; Zbl 0644.92020) Full Text: DOI
Jean, Roger V. (ed.) Une approche mathématique de la biologie. (A mathematical approach to biology). (French) Zbl 0665.92001 Chicoutimi, Québec, Canada: Gaëtan Morin Éditeur. XXIV, 407 p.; Can. $ 39.00 (1987). Reviewer: T.Postelnicu MSC: 92-01 92D25 92D40 PDFBibTeX XML
Huang, Yingzi Stable theory of insect populations subject to time dependent metamorphic transfer rates. (Chinese. English summary) Zbl 0633.92010 J. Biomath. 2, 110-118 (1987). MSC: 92D25 15A18 15A99 PDFBibTeX XMLCite \textit{Y. Huang}, J. Biomath. 2, 110--118 (1987; Zbl 0633.92010)
Wu, H.; Sharpe, P. J. H.; Rykiel, E. J. jun. Age-size population dynamics: Derivation of a general matrix methodology. (English) Zbl 0626.92014 Comput. Math. Appl. 13, 759-766 (1987). MSC: 92D25 15A24 35Q99 39A12 92-08 PDFBibTeX XMLCite \textit{H. Wu} et al., Comput. Math. Appl. 13, 759--766 (1987; Zbl 0626.92014) Full Text: DOI
Tuljapurkar, Shripad Demography in stochastic environments. II: Growth and convergence rates. (English) Zbl 0613.92020 J. Math. Biol. 24, 569-581 (1986). Reviewer: M.Kimmel MSC: 92D25 60K99 PDFBibTeX XMLCite \textit{S. Tuljapurkar}, J. Math. Biol. 24, 569--581 (1986; Zbl 0613.92020) Full Text: DOI
Liu, Laifu; Chen, Kewei The stable age structure and its properties in generalized Leslie matrix models. (Chinese. English summary) Zbl 0604.92015 J. Biomath. 1, 81-87 (1986). MSC: 92D25 15A99 PDFBibTeX XMLCite \textit{L. Liu} and \textit{K. Chen}, J. Biomath. 1, 81--87 (1986; Zbl 0604.92015)
Cullen, M. R. Linear models in biology. (English) Zbl 0571.92001 Ellis Horwood series mathematics and its applications. Chichester: Ellis Horwood Limited; New York etc.: Halsted Press: a division of John Wiley & Sons. 213 p. hbk: £20.35; $ 27.50; pbk: £10.50 (1985). Reviewer: R.Bürger MSC: 92-01 15A99 34A30 93C05 92Cxx 92D40 39A10 92-08 15A18 15A24 92D25 PDFBibTeX XML
Taylor, G. C. Primitivity of products of Leslie matrices. (English) Zbl 0554.92007 Bull. Math. Biol. 47, 23-34 (1985). MSC: 92D25 15A99 PDFBibTeX XMLCite \textit{G. C. Taylor}, Bull. Math. Biol. 47, 23--34 (1985; Zbl 0554.92007) Full Text: DOI
Geramita, Joan M.; Pullman, Norman J. An introduction to the application of nonnegative matrices to biological systems. (English) Zbl 0589.92001 Queen’s Papers in Pure and Applied Mathematics, 68. Kingston, Ontario, Canada: Queen’s University. VI, 96 p. (1984). MSC: 92-01 15-01 15B48 92B05 15B51 PDFBibTeX XML
Anderson, David H. Spectral sensitivity in linear biological models. (English) Zbl 0553.92001 J. Math. Biol. 20, 203-221 (1984). Reviewer: P.Narain MSC: 92B05 93B35 93C99 93C05 PDFBibTeX XMLCite \textit{D. H. Anderson}, J. Math. Biol. 20, 203--221 (1984; Zbl 0553.92001) Full Text: DOI
Legendre, Louis; Legendre, Pierre [Rohlf, F. James] Numerical ecology. Exp. transl. from the French. Preface by F. James Rohlf. (English) Zbl 0588.92021 Developments in Environmental Modelling, 3. Amsterdam-Oxford-New York: Elsevier Scientific Publishing Company. XVI, 419 p. (1983). MSC: 92D40 92-01 62H30 62H25 62P10 92-02 PDFBibTeX XML
Barnett, S.; Gover, M. J. C. Some extensions of Hankel and Toeplitz matrices. (English) Zbl 0536.15011 Linear Multilinear Algebra 14, 45-65 (1983). Reviewer: L.Mihályffy MSC: 15B57 15A09 PDFBibTeX XMLCite \textit{S. Barnett} and \textit{M. J. C. Gover}, Linear Multilinear Algebra 14, 45--65 (1983; Zbl 0536.15011) Full Text: DOI
Templeton, Alan R. The evolution of life histories under pleiotropic constraints and K- selection. (English) Zbl 0524.92016 Population biology, Proc. int. Conf., Edmonton/Can. 1982, Lect. Notes Biomath. 52, 64-71 (1983). MSC: 92D25 PDFBibTeX XML
Hansen, Poul. E. Raising Leslie matrices to powers: A method and applications to demography. (English) Zbl 0524.92014 J. Math. Biol. 18, 149-161 (1983). MSC: 92D25 65F30 15A99 PDFBibTeX XMLCite \textit{Poul. E. Hansen}, J. Math. Biol. 18, 149--161 (1983; Zbl 0524.92014) Full Text: DOI
Krishnan, P.; Lalu, N. M. Lotka distribution for a finite mixture of human populations. I. (English) Zbl 0514.92014 Population biology, Proc. int. Conf., Edmonton/Can. 1982, Lect. Notes Biomath. 52, 173-179 (1983). MSC: 92D25 15A99 15A18 PDFBibTeX XML
Slade, Norman A.; Levenson, Howard Estimating population growth rates from stochastic Leslie matrices. (English) Zbl 0496.92008 Theor. Popul. Biol. 22, 299-308 (1982). MSC: 92D25 65C20 PDFBibTeX XMLCite \textit{N. A. Slade} and \textit{H. Levenson}, Theor. Popul. Biol. 22, 299--308 (1982; Zbl 0496.92008) Full Text: DOI
Jean, Roger V. Contribution à la théorie des fonctions de croissance des L-systèmes et à la biometrie vegetale. (French) Zbl 0463.92003 C. R. Acad. Sci., Paris, Sér. A 290, 949-952 (1980). MSC: 92B05 68T99 68Q45 PDFBibTeX XMLCite \textit{R. V. Jean}, C. R. Acad. Sci., Paris, Sér. A 290, 949--952 (1980; Zbl 0463.92003)
Charlesworth, Brian Evolution in age-structured populations. (English) Zbl 0449.92011 Cambridge Studies in Mathematical Biology, 1. Cambridge etc.: Cambridge University Press. XIII, 300 p. pbk: £5.95; hbk: £18.00 (1980). MSC: 92D10 92D25 65C20 60J85 92-01 92-02 PDFBibTeX XML
Keller, Edward L. Primitivity of the product of two Leslie matrices. (English) Zbl 0422.92019 Bull. Math. Biol. 42, 181-189 (1980). MSC: 92D25 15A21 15B48 05C50 PDFBibTeX XMLCite \textit{E. L. Keller}, Bull. Math. Biol. 42, 181--189 (1980; Zbl 0422.92019) Full Text: DOI
Daley, D. J. Bias in estimating the Malthusian parameter for Leslie matrices. (English) Zbl 0401.92014 Theor. Population Biology 15, 257-263 (1979). MSC: 92D25 PDFBibTeX XMLCite \textit{D. J. Daley}, Theor. Popul. Biol. 15, 257--263 (1979; Zbl 0401.92014) Full Text: DOI
Thompson, Maynard Asymptotic growth and stability in populations with time dependent vital rates. (English) Zbl 0402.92025 Math. Biosci. 42, 267-278 (1978). MSC: 92D25 PDFBibTeX XMLCite \textit{M. Thompson}, Math. Biosci. 42, 267--278 (1978; Zbl 0402.92025) Full Text: DOI