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Universality of dishonesty of substochastic semigroups: Shattering fragmentation and explosive birth-and-death processes
1. | School of Mathematical Sciences, University of KwaZulu-Natal, Durban 4041 |
2. | Laboratoire de Mathématiques, Université de Franche-Comté, Route de Gray, 25030 Besançon Cedex, France |
[1] |
Jacek Banasiak, Marcin Moszyński. Dynamics of birth-and-death processes with proliferation - stability and chaos. Discrete and Continuous Dynamical Systems, 2011, 29 (1) : 67-79. doi: 10.3934/dcds.2011.29.67 |
[2] |
Mustapha Mokhtar-Kharroubi. On spectral gaps of growth-fragmentation semigroups with mass loss or death. Communications on Pure and Applied Analysis, 2022, 21 (4) : 1293-1327. doi: 10.3934/cpaa.2022019 |
[3] |
Hilla Behar, Alexandra Agranovich, Yoram Louzoun. Diffusion rate determines balance between extinction and proliferation in birth-death processes. Mathematical Biosciences & Engineering, 2013, 10 (3) : 523-550. doi: 10.3934/mbe.2013.10.523 |
[4] |
Jacek Banasiak. Transport processes with coagulation and strong fragmentation. Discrete and Continuous Dynamical Systems - B, 2012, 17 (2) : 445-472. doi: 10.3934/dcdsb.2012.17.445 |
[5] |
Zhenquan Zhang, Meiling Chen, Jiajun Zhang, Tianshou Zhou. Analysis of non-Markovian effects in generalized birth-death models. Discrete and Continuous Dynamical Systems - B, 2021, 26 (7) : 3717-3735. doi: 10.3934/dcdsb.2020254 |
[6] |
Jacek Banasiak, Wilson Lamb. Coagulation, fragmentation and growth processes in a size structured population. Discrete and Continuous Dynamical Systems - B, 2009, 11 (3) : 563-585. doi: 10.3934/dcdsb.2009.11.563 |
[7] |
Jacek Banasiak, Wilson Lamb. The discrete fragmentation equation: Semigroups, compactness and asynchronous exponential growth. Kinetic and Related Models, 2012, 5 (2) : 223-236. doi: 10.3934/krm.2012.5.223 |
[8] |
Mustapha Mokhtar-Kharroubi, Jacek Banasiak. On spectral gaps of growth-fragmentation semigroups in higher moment spaces. Kinetic and Related Models, 2022, 15 (2) : 147-185. doi: 10.3934/krm.2021050 |
[9] |
Wilson Lamb, Adam McBride, Louise Smith. Coagulation and fragmentation processes with evolving size and shape profiles: A semigroup approach. Discrete and Continuous Dynamical Systems, 2013, 33 (11&12) : 5177-5187. doi: 10.3934/dcds.2013.33.5177 |
[10] |
Sung-Seok Ko. A nonhomogeneous quasi-birth-death process approach for an $ (s, S) $ policy for a perishable inventory system with retrial demands. Journal of Industrial and Management Optimization, 2020, 16 (3) : 1415-1433. doi: 10.3934/jimo.2019009 |
[11] |
Meiqiao Ai, Zhimin Zhang, Wenguang Yu. First passage problems of refracted jump diffusion processes and their applications in valuing equity-linked death benefits. Journal of Industrial and Management Optimization, 2022, 18 (3) : 1689-1707. doi: 10.3934/jimo.2021039 |
[12] |
Freddy Dumortier, Robert Roussarie. Birth of canard cycles. Discrete and Continuous Dynamical Systems - S, 2009, 2 (4) : 723-781. doi: 10.3934/dcdss.2009.2.723 |
[13] |
Andrew Yates, Robin Callard. Cell death and the maintenance of immunological memory. Discrete and Continuous Dynamical Systems - B, 2001, 1 (1) : 43-59. doi: 10.3934/dcdsb.2001.1.43 |
[14] |
Marie Doumic, Miguel Escobedo. Time asymptotics for a critical case in fragmentation and growth-fragmentation equations. Kinetic and Related Models, 2016, 9 (2) : 251-297. doi: 10.3934/krm.2016.9.251 |
[15] |
Ankik Kumar Giri. On the uniqueness for coagulation and multiple fragmentation equation. Kinetic and Related Models, 2013, 6 (3) : 589-599. doi: 10.3934/krm.2013.6.589 |
[16] |
Yaodi Yong, Hailiang Yang. Valuation of cliquet-style guarantees with death benefits. Journal of Industrial and Management Optimization, 2021 doi: 10.3934/jimo.2021188 |
[17] |
Alastair Fletcher. Quasiregular semigroups with examples. Discrete and Continuous Dynamical Systems, 2019, 39 (4) : 2157-2172. doi: 10.3934/dcds.2019090 |
[18] |
Fritz Colonius, Marco Spadini. Fundamental semigroups for dynamical systems. Discrete and Continuous Dynamical Systems, 2006, 14 (3) : 447-463. doi: 10.3934/dcds.2006.14.447 |
[19] |
José A. Conejero, Alfredo Peris. Chaotic translation semigroups. Conference Publications, 2007, 2007 (Special) : 269-276. doi: 10.3934/proc.2007.2007.269 |
[20] |
Min He. On continuity in parameters of integrated semigroups. Conference Publications, 2003, 2003 (Special) : 403-412. doi: 10.3934/proc.2003.2003.403 |
2020 Impact Factor: 1.327
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