Jasińska, Dominika; Kozitsky, Yuri Dynamics of an infinite age-structured particle system. (English) Zbl 1527.60078 Math. Methods Appl. Sci. 45, No. 8, 4108-4123 (2022). MSC: 60K35 60J25 92D25 PDFBibTeX XMLCite \textit{D. Jasińska} and \textit{Y. Kozitsky}, Math. Methods Appl. Sci. 45, No. 8, 4108--4123 (2022; Zbl 1527.60078) Full Text: DOI arXiv
Li, Wenrui; Ye, Ming; Zhang, Qimin; Anke, Meyer-Baese; Li, Yan A periodic averaging method for impulsive stochastic age-structured population model in a polluted environment. (English) Zbl 1528.92028 Math. Methods Appl. Sci. 45, No. 12, 7760-7779 (2022). MSC: 92D25 60H30 PDFBibTeX XMLCite \textit{W. Li} et al., Math. Methods Appl. Sci. 45, No. 12, 7760--7779 (2022; Zbl 1528.92028) Full Text: DOI
Dominika, Jasińska; Kozitsky, Yuri A Markov process for an infinite age-structured population. (English) Zbl 1494.60080 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 467-492 (2022). MSC: 60J25 60J85 92D25 PDFBibTeX XMLCite \textit{J. Dominika} and \textit{Y. Kozitsky}, ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 467--492 (2022; Zbl 1494.60080) Full Text: arXiv Link
Ponosov, A. Analysis of the McKendrick-von Foerster equation with weighted white noise by means of stochastic functional differential equations. (English) Zbl 1492.35377 Funct. Differ. Equ. 28, No. 3-4, 125-147 (2021). MSC: 35Q92 92D25 60H30 60H40 35A01 35A02 35R10 35R60 PDFBibTeX XMLCite \textit{A. Ponosov}, Funct. Differ. Equ. 28, No. 3--4, 125--147 (2021; Zbl 1492.35377) Full Text: DOI
Li, Wenrui; Zhang, Qimin; Anke, Meyer-Baese; Ye, Ming; Li, Yan Taylor approximation of the solution of age-dependent stochastic delay population equations with Ornstein-Uhlenbeck process and Poisson jumps. (English) Zbl 1485.92096 Math. Biosci. Eng. 17, No. 3, 2650-2675 (2020). Reviewer: Shengqiang Liu (Harbin) MSC: 92D25 60J60 60J74 PDFBibTeX XMLCite \textit{W. Li} et al., Math. Biosci. Eng. 17, No. 3, 2650--2675 (2020; Zbl 1485.92096) Full Text: DOI
Boumezoued, Alexandre; Hoffmann, Marc; Jeunesse, Paulien Nonparametric adaptive inference of birth and death models in a large population limit. (English) Zbl 1470.62049 Math. Stat. Learn. 3, No. 1, 1-69 (2020). MSC: 62G05 62G20 62M05 60J80 60J20 92D25 PDFBibTeX XMLCite \textit{A. Boumezoued} et al., Math. Stat. Learn. 3, No. 1, 1--69 (2020; Zbl 1470.62049) Full Text: DOI arXiv
Roget, Tristan On the long-time behaviour of age and trait structured population dynamics. (English) Zbl 1421.35389 Discrete Contin. Dyn. Syst., Ser. B 24, No. 6, 2551-2576 (2019). MSC: 35Q92 35B40 92D25 35P05 60J80 PDFBibTeX XMLCite \textit{T. Roget}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 6, 2551--2576 (2019; Zbl 1421.35389) Full Text: DOI arXiv
Wang, Zhen Stability and moment boundedness of an age-structured model with randomly-varying immigration or harvesting. (English) Zbl 1406.92533 J. Math. Anal. Appl. 471, No. 1-2, 423-447 (2019). MSC: 92D25 60H10 60H15 PDFBibTeX XMLCite \textit{Z. Wang}, J. Math. Anal. Appl. 471, No. 1--2, 423--447 (2019; Zbl 1406.92533) Full Text: DOI
Alshanskiy, Maxim A. A model of age-structured population under stochastic perturbation of death and birth rates. (English) Zbl 1453.60112 Ural Math. J. 4, No. 1, 3-13 (2018). MSC: 60H15 60H40 92D25 PDFBibTeX XMLCite \textit{M. A. Alshanskiy}, Ural Math. J. 4, No. 1, 3--13 (2018; Zbl 1453.60112) Full Text: DOI MNR
Pichugin, Boris J.; Pertsev, Nikolai V.; Topchii, Valentin A.; Loginov, Konstantin K. Stochastic modelling of age-structured population with time and size dependence of immigration rate. (English) Zbl 1405.92237 Russ. J. Numer. Anal. Math. Model. 33, No. 5, 289-299 (2018). MSC: 92D25 60J85 92-04 PDFBibTeX XMLCite \textit{B. J. Pichugin} et al., Russ. J. Numer. Anal. Math. Model. 33, No. 5, 289--299 (2018; Zbl 1405.92237) Full Text: DOI
Bressloff, Paul C.; Lawley, Sean D.; Murphy, Patrick Diffusion in an age-structured randomly switching environment. (English) Zbl 1400.92426 J. Phys. A, Math. Theor. 51, No. 31, Article ID 315001, 27 p. (2018). MSC: 92D25 60J60 60H15 35R60 PDFBibTeX XMLCite \textit{P. C. Bressloff} et al., J. Phys. A, Math. Theor. 51, No. 31, Article ID 315001, 27 p. (2018; Zbl 1400.92426) Full Text: DOI Link
Soler, David; Sanz, María T.; Caselles, Antonio; Micó, Joan C. A stochastic dynamic model to evaluate the influence of economy and well-being on unemployment control. (English) Zbl 1415.91226 J. Comput. Appl. Math. 330, 1063-1080 (2018). MSC: 91B82 91B70 91B40 60H30 PDFBibTeX XMLCite \textit{D. Soler} et al., J. Comput. Appl. Math. 330, 1063--1080 (2018; Zbl 1415.91226) Full Text: DOI
Lv, Bu; Zhang, Qimin; Li, Qiang Mean-square dissipativity of stochastic fuzzy age-structured population system with diffusion. (Chinese. English summary) Zbl 1389.92038 Math. Pract. Theory 47, No. 3, 190-197 (2017). MSC: 92D25 60H15 60J70 60A86 PDFBibTeX XMLCite \textit{B. Lv} et al., Math. Pract. Theory 47, No. 3, 190--197 (2017; Zbl 1389.92038)
Olivier, Adélaïde How does variability in cell aging and growth rates influence the malthus parameter? (English) Zbl 1352.35206 Kinet. Relat. Models 10, No. 2, 481-512 (2017). MSC: 35Q92 47A75 60J80 92D25 PDFBibTeX XMLCite \textit{A. Olivier}, Kinet. Relat. Models 10, No. 2, 481--512 (2017; Zbl 1352.35206) Full Text: DOI arXiv
Qiao, Nan; Zhang, Qimin Exponential stability of a fuzzy stochastic single-species age-stuctured model in a polluted environment. (Chinese. English summary) Zbl 1374.35061 Math. Pract. Theory 46, No. 20, 216-222 (2016). MSC: 35B35 60H15 92D25 PDFBibTeX XMLCite \textit{N. Qiao} and \textit{Q. Zhang}, Math. Pract. Theory 46, No. 20, 216--222 (2016; Zbl 1374.35061)
Berry, Hugues; Lepoutre, Thomas; González, Álvaro Mateos Quantitative convergence towards a self-similar profile in an age-structured renewal equation for subdiffusion. (English) Zbl 1361.35181 Acta Appl. Math. 145, No. 1, 15-45 (2016); erratum ibid. 146, No. 1, 205 (2016). MSC: 35Q92 92D25 60J75 35B40 82C41 PDFBibTeX XMLCite \textit{H. Berry} et al., Acta Appl. Math. 145, No. 1, 15--45 (2016; Zbl 1361.35181) Full Text: DOI arXiv
Gwiazda, Piotr; Miasojedow, Błaẓej; Rosińska, Magdalena Bayesian inference for age-structured population model of infectious disease with application to varicella in Poland. (English) Zbl 1344.92165 J. Theor. Biol. 407, 38-50 (2016). MSC: 92D30 60J20 62F15 PDFBibTeX XMLCite \textit{P. Gwiazda} et al., J. Theor. Biol. 407, 38--50 (2016; Zbl 1344.92165) Full Text: DOI arXiv
Kakumani, Bhargav Kumar; Tumuluri, Suman Kumar Extinction and blow-up phenomena in a non-linear gender structured population model. (English) Zbl 1395.92128 Nonlinear Anal., Real World Appl. 28, 290-299 (2016). MSC: 92D25 45K05 60J85 PDFBibTeX XMLCite \textit{B. K. Kakumani} and \textit{S. K. Tumuluri}, Nonlinear Anal., Real World Appl. 28, 290--299 (2016; Zbl 1395.92128) Full Text: DOI
Yang, Hongfu; Zhang, Qimin; Shen, Fangfang; Li, Xining Convergence of numerical solutions to fuzzy stochastic age-structured population systems with diffusion. (Chinese. English summary) Zbl 1340.92068 Fuzzy Syst. Math. 29, No. 1, 74-82 (2015). MSC: 92D25 60H20 PDFBibTeX XMLCite \textit{H. Yang} et al., Fuzzy Syst. Math. 29, No. 1, 74--82 (2015; Zbl 1340.92068)
Wang, Zhen; Li, Xiong Stability of non-densely defined semilinear stochastic evolution equations with application to the stochastic age-structured model. (English) Zbl 1358.37093 J. Dyn. Differ. Equations 27, No. 2, 261-281 (2015). MSC: 37H10 60H15 92D25 35R60 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{X. Li}, J. Dyn. Differ. Equations 27, No. 2, 261--281 (2015; Zbl 1358.37093) Full Text: DOI
Chen, Huabin Existence and uniqueness, attraction for stochastic age-structured population systems with diffusion and Poisson jump. (English) Zbl 1286.35279 J. Math. Phys. 54, No. 8, 082701, 21 p. (2013). MSC: 35R60 60J70 92D25 PDFBibTeX XMLCite \textit{H. Chen}, J. Math. Phys. 54, No. 8, 082701, 21 p. (2013; Zbl 1286.35279) Full Text: DOI
Ackleh, Azmy S.; Deng, Keng; Huang, Qihua Stochastic juvenile-adult models with application to a green tree frog population. (English) Zbl 1403.92231 J. Biol. Dyn. 5, No. 1, 64-83 (2011). MSC: 92D25 60J20 PDFBibTeX XMLCite \textit{A. S. Ackleh} et al., J. Biol. Dyn. 5, No. 1, 64--83 (2011; Zbl 1403.92231) Full Text: DOI
Gu, Gaofeng; Zhang, Qimin Numerical analysis of a stochastic age-structured population equation with Poisson jumps in Banach spaces. (English) Zbl 1249.65005 Math. Appl. 24, No. 4, 645-652 (2011). MSC: 65C30 60H15 92D25 65M06 35R60 60H35 PDFBibTeX XMLCite \textit{G. Gu} and \textit{Q. Zhang}, Math. Appl. 24, No. 4, 645--652 (2011; Zbl 1249.65005)
Gu, Gaofeng; Zhang, Qimin Numerical solutions to stochastic age-structured population equations in Banach spaces. (Chinese. English summary) Zbl 1249.65004 J. Ningxia Univ., Nat. Sci. Ed. 32, No. 3, 208-212 (2011). MSC: 65C30 60H15 92D25 65M06 35R60 65M12 60H35 PDFBibTeX XMLCite \textit{G. Gu} and \textit{Q. Zhang}, J. Ningxia Univ., Nat. Sci. Ed. 32, No. 3, 208--212 (2011; Zbl 1249.65004)
Gu, Gaofeng; Zhang, Qimin Numerical analysis of stochastic age-structured population equations in Banach spaces. (English) Zbl 1240.65008 Math. Appl. 24, No. 1, 56-65 (2011). MSC: 65C30 60H15 92D25 35R60 60H35 65M06 65M60 PDFBibTeX XMLCite \textit{G. Gu} and \textit{Q. Zhang}, Math. Appl. 24, No. 1, 56--65 (2011; Zbl 1240.65008)
Hössjer, O. Coalescence theory for a general class of structured populations with fast migration. (English) Zbl 1358.92078 Adv. Appl. Probab. 43, No. 4, 1027-1047 (2011). MSC: 92D25 60J28 60F17 PDFBibTeX XMLCite \textit{O. Hössjer}, Adv. Appl. Probab. 43, No. 4, 1027--1047 (2011; Zbl 1358.92078) Full Text: DOI
Rudnicki, Ryszard; Wieczorek, Radosław Asymptotic analysis of a semelparous species model. (English) Zbl 1274.92046 Fundam. Inform. 103, No. 1-4, 219-233 (2010). MSC: 92D25 60J28 PDFBibTeX XMLCite \textit{R. Rudnicki} and \textit{R. Wieczorek}, Fundam. Inform. 103, No. 1--4, 219--233 (2010; Zbl 1274.92046) Full Text: DOI
Allen, Edward J. Derivation of stochastic partial differential equations for size- and age-structured populations. (English) Zbl 1157.60331 J. Biol. Dyn. 3, No. 1, 73-86 (2009). MSC: 60H15 92D25 35R60 60H10 65C30 PDFBibTeX XMLCite \textit{E. J. Allen}, J. Biol. Dyn. 3, No. 1, 73--86 (2009; Zbl 1157.60331) Full Text: DOI
Zhang, Qimin; Han, Chongzhao Existence and uniqueness for a stochastic age-structured population system with diffusion. (English) Zbl 1156.60322 Appl. Math. Modelling 32, No. 11, 2197-2206 (2008). MSC: 60H15 35Q80 92D25 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C. Han}, Appl. Math. Modelling 32, No. 11, 2197--2206 (2008; Zbl 1156.60322) Full Text: DOI
Zhang, Qimin Exponential stability of numerical solutions to a stochastic age-structured population system with diffusion. (English) Zbl 1149.65009 J. Comput. Appl. Math. 220, No. 1-2, 22-33 (2008). Reviewer: Grigori N. Milstein (Ekaterinburg) MSC: 65C30 60H35 65L06 65L20 92D25 60H10 34F05 PDFBibTeX XMLCite \textit{Q. Zhang}, J. Comput. Appl. Math. 220, No. 1--2, 22--33 (2008; Zbl 1149.65009) Full Text: DOI
Rong, Situ Stochastic population control and RSDE with jumps. (English) Zbl 1144.60043 Chuong, N. M. (ed.) et al., Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-550-1/hbk). 281-296 (2007). Reviewer: Carlos A. Braumann (Évora) MSC: 60H30 60H10 92D25 PDFBibTeX XMLCite \textit{S. Rong}, in: Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4--9. 2005. Hackensack, NJ: World Scientific. 281--296 (2007; Zbl 1144.60043)
Zhang, Qimin; Han, Chongzhao Convergence of numerical solutions to stochastic age-structured population system with diffusion. (English) Zbl 1123.65006 Appl. Math. Comput. 186, No. 2, 1234-1242 (2007). Reviewer: Dominique Lepingle (Orléans) MSC: 65C30 60H15 60H35 35R60 65M06 65M12 92D25 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{C. Han}, Appl. Math. Comput. 186, No. 2, 1234--1242 (2007; Zbl 1123.65006) Full Text: DOI
Zhang, Qingguo; Hu, Bingmin A matrix model for population dynamics within opening system with immigration and emigration of individuals. (English) Zbl 0986.92027 Chen, Lansun (ed.) et al., Advanced topics in biomathematics. Proceedings of the international conference on mathematical biology, Zhejiang Agricultural Univ., Hangzhou, China, May 26-29, 1997. Singapore: World Scientific. 303-307 (1998). MSC: 92D25 60J20 15A99 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{B. Hu}, in: Advanced topics in biomathematics. Proceedings of the international conference on mathematical biology, Zhejiang Agricultural Univ., Hangzhou, China, May 26--29, 1997. Singapore: World Scientific. 303--307 (1998; Zbl 0986.92027)
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Engl, Heinz W.; Rundell, William; Scherzer, Otmar A regularization scheme for an inverse problem in age-structured populations. (English) Zbl 0841.92021 J. Math. Anal. Appl. 182, No. 3, 658-679 (1994). MSC: 92D25 47N60 35Q92 60J85 47N30 PDFBibTeX XMLCite \textit{H. W. Engl} et al., J. Math. Anal. Appl. 182, No. 3, 658--679 (1994; Zbl 0841.92021) 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
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Kim, Young J.; Aron, Joan L. On the equality of average age and average expectation of remaining life in a stationary population. (English) Zbl 0671.92015 SIAM Rev. 31, No. 1, 110-113 (1989). MSC: 92D25 60K05 PDFBibTeX XMLCite \textit{Y. J. Kim} and \textit{J. L. Aron}, SIAM Rev. 31, No. 1, 110--113 (1989; Zbl 0671.92015) Full Text: DOI
Mode, Charles J.; Root, Terry Projecting age-structured populations in a random environment. (English) Zbl 0637.92016 Math. Biosci. 88, No. 2, 223-245 (1988). MSC: 92D25 65C20 65C05 60J85 PDFBibTeX XMLCite \textit{C. J. Mode} and \textit{T. Root}, Math. Biosci. 88, No. 2, 223--245 (1988; Zbl 0637.92016) Full Text: DOI
Hallam, Thomas G. (ed.); Levin, Simon A. (ed.) [Gross, L. J.; Hastings, A.; Turelli, M.; Lassiter, R.; Conrad, J. M.; May, R. M.; Nisbet, R. M.; Gurney, W. S. C.; Frauenthal, J. C.; Ricciardi, L. M.] Mathematical ecology. An introduction. (Papers presented at the Autumn Course on Mathematical Ecology, held at the International Centre for Theoretical Physics, Miramare (Trieste), Italy, November-December 1982). (English) Zbl 0598.92019 Biomathematics, Vol. 17. Berlin etc.: Springer-Verlag. XII, 457 p. DM 168.00 (1986). Reviewer: J.Peil MSC: 92D40 92-06 92D25 60J85 92-02 60J70 PDFBibTeX XML
Heyde, C. C. On the use of time series representations of population models. (English) Zbl 0588.62193 Essays in time series and allied processes, Pap. Hon. E. J. Hannan, J. Appl. Probab., Spec. Vol. 23 A, 345-353 (1986). MSC: 62P10 62M10 60J85 92D25 PDFBibTeX XML
Heyde, C. C.; Cohen, Joel E. Confidence intervals for demographic projections based on products of random matrices. (English) Zbl 0584.92015 Theor. Popul. Biol. 27, 120-153 (1985). Reviewer: C.A.Braumann MSC: 92D25 60F15 62F25 62M09 62F12 60F05 PDFBibTeX XMLCite \textit{C. C. Heyde} and \textit{J. E. Cohen}, Theor. Popul. Biol. 27, 120--153 (1985; Zbl 0584.92015) Full Text: DOI
Brauer, Fred Constant-rate harvesting of age-structured populations. (English) Zbl 0548.92011 SIAM J. Math. Anal. 14, 947-961 (1983). Reviewer: G.F.Webb MSC: 92D25 60J85 35K99 PDFBibTeX XMLCite \textit{F. Brauer}, SIAM J. Math. Anal. 14, 947--961 (1983; Zbl 0548.92011) Full Text: DOI
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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