Limit properties for branching process affected by communicable diseases in random environments
The model of branching process {Zn,n∈N} affected by communicable diseases in independent random environment is proposed,and the limit properties of this model are discussed.Under the normalization factors {Sn,n∈N} and {Un,n∈N},the normalization processes {W?n,n∈N} and {Wˉn,n∈N} are studied,the suffi...
Saved in:
| Published in | Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 49; no. 1; pp. 53 - 59 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
Hangzhou
Zhejiang University
01.01.2022
Zhejiang University Press |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1008-9497 |
| DOI | 10.3785/j.issn.1008-9497.2022.01.008 |
Cover
Loading…
| Abstract | The model of branching process {Zn,n∈N} affected by communicable diseases in independent random environment is proposed,and the limit properties of this model are discussed.Under the normalization factors {Sn,n∈N} and {Un,n∈N},the normalization processes {W?n,n∈N} and {Wˉn,n∈N} are studied,the sufficient conditions of {W?n,n∈N} and {Wˉn,n∈N} a.s.and L1 convergence are given; the sufficient condition of {W?n,n∈N}L2 convergence,a sufficient condition and a necessary condition for the limit of {W?n,n∈N} converging to a non-degenerate at 0 random variable are obtained. |
|---|---|
| AbstractList | The model of branching process {Zn,n∈N} affected by communicable diseases in independent random environment is proposed,and the limit properties of this model are discussed.Under the normalization factors {Sn,n∈N} and {Un,n∈N},the normalization processes {W?n,n∈N} and {Wˉn,n∈N} are studied,the sufficient conditions of {W?n,n∈N} and {Wˉn,n∈N} a.s.and L1 convergence are given; the sufficient condition of {W?n,n∈N}L2 convergence,a sufficient condition and a necessary condition for the limit of {W?n,n∈N} converging to a non-degenerate at 0 random variable are obtained. 给出了独立随机环境中受传染性疾病影响的分枝过程{Zn，n∈N}的模型，讨论了该模型的极限性质，并给出了分枝过程经{Sn，n∈N}和{Un，n∈N}规范化后和几乎处处收敛和L1收敛的充分条件，得到L2收敛的充分条件和极限非退化到0的充分条件和必要条件。 |
| Author | Ren, Min |
| Author_xml | – sequence: 1 givenname: Min surname: Ren fullname: Ren, Min |
| BookMark | eNo9T8tqwzAQ1CGFpmn-QdBe40qybMnHEvoIBHrJXeixShViKZWcQv6-6oPuYRdmd2Z2btAspggI3VPStEJ2D4cmlBIbSohcDXwQDSOMNYQ2FZih-T9-jZalBEMIJR1lg5wjtQ1jmPAppxPkKUDBPmVsso72PcT998JCKVh7D3YCh80F2zSO5xisNkfALhTQpfJCxJXl0oghfoac4ghxKrfoyutjgeXfXKDd89Nu_bravr1s1o_blRu4XLWiFWbgnbfEWDFQQXnNRR0zRkPnfNtpBs52bmBuoLURzZyBvnfeiFrtAm1-ZV3SB3XKYdT5opIO6gdIea90jWePoIxg3puettZQbi1I6K3hnMveSV9dq9bdr1bN_nGGMqlDOudYv1esr2ek75hsvwDkFnTq |
| ContentType | Journal Article |
| Copyright | Copyright Zhejiang University 2022 |
| Copyright_xml | – notice: Copyright Zhejiang University 2022 |
| DBID | 7SC 7SP 7TB 7U5 8FD FR3 JQ2 KR7 L7M L~C L~D DOA |
| DOI | 10.3785/j.issn.1008-9497.2022.01.008 |
| DatabaseName | Computer and Information Systems Abstracts Electronics & Communications Abstracts Mechanical & Transportation Engineering Abstracts Solid State and Superconductivity Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional DOAJ Directory of Open Access Journals |
| DatabaseTitle | Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts Electronics & Communications Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Solid State and Superconductivity Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Civil Engineering Abstracts |
| Database_xml | – sequence: 1 dbid: DOA name: Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website |
| DeliveryMethod | fulltext_linktorsrc |
| EndPage | 59 |
| ExternalDocumentID | oai_doaj_org_article_b72ffb613cb14cce8e6cb44486d8f378 |
| GroupedDBID | 7SC 7SP 7TB 7U5 8FD ALMA_UNASSIGNED_HOLDINGS FR3 GROUPED_DOAJ JQ2 KR7 L7M L~C L~D |
| ID | FETCH-LOGICAL-d948-3737b945fc0bc7917143781d2bbae5df35a2edc5d92d9192d0a2dbe66dfb77773 |
| IEDL.DBID | DOA |
| ISSN | 1008-9497 |
| IngestDate | Wed Aug 27 01:32:56 EDT 2025 Sun Jun 29 15:18:34 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Language | Chinese |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-d948-3737b945fc0bc7917143781d2bbae5df35a2edc5d92d9192d0a2dbe66dfb77773 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-6312-0750 |
| OpenAccessLink | https://doaj.org/article/b72ffb613cb14cce8e6cb44486d8f378 |
| PQID | 2648606528 |
| PQPubID | 2047852 |
| PageCount | 7 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_b72ffb613cb14cce8e6cb44486d8f378 proquest_journals_2648606528 |
| PublicationCentury | 2000 |
| PublicationDate | 20220101 2022-01-01 |
| PublicationDateYYYYMMDD | 2022-01-01 |
| PublicationDate_xml | – month: 01 year: 2022 text: 20220101 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Hangzhou |
| PublicationPlace_xml | – name: Hangzhou |
| PublicationTitle | Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban |
| PublicationYear | 2022 |
| Publisher | Zhejiang University Zhejiang University Press |
| Publisher_xml | – name: Zhejiang University – name: Zhejiang University Press |
| SSID | ssib001051298 ssib051373732 ssib002258177 ssib004369313 ssib008679801 ssib002476865 ssib023167501 ssib059160192 ssib000948450 ssib002040240 ssib001104615 ssib000969734 ssib008143637 ssib006704891 ssj0002507526 |
| Score | 2.2716916 |
| Snippet | The model of branching process {Zn,n∈N} affected by communicable diseases in independent random environment is proposed,and the limit properties of this model... 给出了独立随机环境中受传染性疾病影响的分枝过程{Zn，n∈N}的模型，讨论了该模型的极限性质，并给出了分枝过程经{Sn，n∈N}和{Un，n∈N}规范化后和几乎处处收敛和L1收敛的充分条件，得到L2收敛的充分条件和极限非退化到0的充分条件和必要条件。 |
| SourceID | doaj proquest |
| SourceType | Open Website Aggregation Database |
| StartPage | 53 |
| SubjectTerms | Convergence Random variables 传染性疾病 几乎处处收敛 分枝过程 随机环境 |
| Title | Limit properties for branching process affected by communicable diseases in random environments |
| URI | https://www.proquest.com/docview/2648606528 https://doaj.org/article/b72ffb613cb14cce8e6cb44486d8f378 |
| Volume | 49 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3La9ZAEF-kgniRiorVWvbQgx5ik80-kmN9lCLWixV6C_sKKvr1o60He1J8gmiFgsWiVTxoLyKCBxEf_0yTtP-Fs5v0c8GDF5PTZhMCs7M7v9nZ-Q1C44wSIUvDIwm2J6I24ZGC0Y24yjhXNLXK10-ZucSnr9ALc2wuKPXlzoS19MCt4CaUIGWpwOholVCtbWa5VhScCm6yMhU-zRdsXuBMtcCBZjSM1-U8FyERWuwMXRAvcqHOwDAS0G1CwwxRliUidGwApofxwZTnaWAYuYCZEbDQZABLeAAEHM1dFg_6ictHZ3_aLEkF3APgwQDEOSw22D0C4CKYryXnyHminOZiHxp3LrjI2MR1v4CcHnSBG0yIZyd1VTR9bYK_TI-3p1PD6EAHhPFkOwAH0Z7lq4fQe59vhfsuQrDgqF4xYGqsXPEPt1OG-21aA5b-FIo1WN3GejfFRd2wuIs3LeJrPQxfmfmbOEzlO7mzvlK_-tY8-1S9u7f19WO1srb1_W39ZrW-86F58bNZe1D9-FytPm3W71ePH9Ybr7d_PWo2n0Cz3ri78_I5vLb9ZfPUYTQ7dX727HTUVZKIDChC5ISpcspKHSstcl_zXQBQJ0pJy0yZMkms0czkxOQgZhNLYpTl3JRKwJUeQUO9-Z49irBKSik1oGxQfUCSOqfa8FiyTKapSYgeQWeceIt-yxVSOPZu_wB0uuh0uviXTo-g0d3BKbolZbFwRxHB22QkO_Y__nEc7Xda0e4mjaKhpYVb9gTgqyU1hvZOnpu5eHnMT6nfIQImXg |
| linkProvider | Directory of Open Access Journals |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Limit+properties+for+branching+process+affected+by+communicable+diseases+in+random+environments%28%E9%9A%8F%E6%9C%BA%E7%8E%AF%E5%A2%83%E4%B8%AD%E5%8F%97%E4%BC%A0%E6%9F%93%E6%80%A7%E7%96%BE%E7%97%85%E5%BD%B1%E5%93%8D%E7%9A%84%E5%88%86%E6%9E%9D%E8%BF%87%E7%A8%8B%E7%9A%84%E6%9E%81%E9%99%90%E6%80%A7%E8%B4%A8%29&rft.jtitle=Zhejiang+da+xue+xue+bao.+Journal+of+Zhejiang+University.+Sciences+edition.+Li+xue+ban&rft.au=RENMin%28%E4%BB%BB%E6%95%8F%29&rft.date=2022-01-01&rft.pub=Zhejiang+University+Press&rft.issn=1008-9497&rft.volume=49&rft.issue=1&rft.spage=53&rft.epage=59&rft_id=info:doi/10.3785%2Fj.issn.1008-9497.2022.01.008&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_b72ffb613cb14cce8e6cb44486d8f378 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1008-9497&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1008-9497&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1008-9497&client=summon |