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An Analyti. Approxi.ate Soluti.n of the Si. Model

Appli.d Mathemati.s 2021年第1期12卷 58-73页

作者： i. lazzizzera Department of Physi.s University of Trento via Sommarive 14 Povo (Trento) Italy Trento i.sti.ute for Fundamental Physi.s and Appli.ati.ns (i.FN) via Sommarive 14 Povo (Trento) Italy

The Si.(D) epi.emi.logi.al model i. defi.ed through a system of transcendental equati.ns, not solvable by elementary functi.ns. i. the present paper those equati.ns are successfully replaced by approxi.ate ones, whose soluti.ns are gi.en expli.i.ly i. terms of elementary functi.ns, ori.i.ati.g, pi.ce-wi.ely, from generali.ed logi.ti. functi.ns: they ensure exact (i. the numeri.al sense) asymptoti. values, besi.es to be qui.e practi.al to use, for example wi.h fi. to data algori.hms;moreover they unvei. a useful feature, that i. fact, at least wi.h very stri.t approxi.ati.n, i. also owned by the (numeri.al) soluti.ns of the exact equati.ns. The novelti.s i. the work are: the way the approxi.ate equati.ns are obtai.ed, usi.g si.ple, analyti. geometry consi.erati.ns;the easy and practi.al formulati.n of the fi.al approxi.ate soluti.ns;the menti.ned useful feature, never di.closed before. The work’s method and result prove to be robust over a range of values of the well known non-di.ensi.nal parameter called basi. reproducti.n rati., that covers at least all the known epi.emi. cases, from i.fluenza to measles: thi. i. a poi.t whi.h doesn’t appear much di.cussed i. analogous works.

关键词： Si. Epi.emi. Model Kermack-McKendri.k Model Epi.emi. Dynami.s Approxi.ate Analyti. Soluti.n

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An Analyti. Approxi.ate Soluti.n of the Si. Model

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Appli.d Mathemati.s（应用数学） 2021年第1期

作者： i. lazzizzera

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The HEPD parti.le detector of the CSES satelli.e mi.si.n for i.vesti.ati.g sei.mo-associ.ted perturbati.ns of the Van Allen belts

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Sci.nce Chi.a(Technologi.al Sci.nces) 2018年第5期61卷 643-652页

作者： AMBROSi.Gi.vanni.BARTOCCi.Si.ona BASARA Laurent BATTi.TON Roberto BURGER Wi.li.m J. CARFORA Luca CASTELLi.i.Gui.o Ci.OLLONE Pi.ro CONTi.Li.i. CONTi. Andrea DE DONATO Ci.zi. DE SANTi. Cri.ti.n FOLLEGA Francesco M. GUANDALi.i.Cri.ti.a i.Ni.A Mari. i.PPA Roberto LAURENTi.Gi.li.no lazzizzera i.nazi. LOLLi.Mauro MANEA Chri.ti.n MARCELLi.Laura MASCi.NTONi. Gi.seppe MERGE Matteo OSTERi. Gi.seppe PACi.i.Lorenzo PALMA Francesco PALMONARi.Federi.o PANi.O Beatri.e PATRi.i. Laura PERFETTO Francesco Pi.OZZA Pi.rgi.rgi. POZZATO Mi.hele PUEL Matteo RASHEVSKAYA i.i.a Ri.Ci.Ester Ri.Ci.Marco Ri.Ci.Ri.i.Sergi. Bruno SCOTTi.Valenti.a SOTGi. Alessando SPARVOLi.Roberta SPATARO Bruno Vi.ALE Vi.cenzo i.ti.uto Nazi.nale di.Fi.i.a Nucleare (i.FN) Sezione di Perugia Perugia 06123 Italy Uni.ettuno Uni.ersi.y Rome 00186 Italy i.ti.uto Nazi.nale di.Fi.i.a Nucleare (i.FN) Sezione di Roma Tor Vergata Rome 00133 Italy i.ti.uto Nazi.nale di.Fi.i.a Nucleare (i.FN) TIFPA Povo (TN) 38123 Italy Di.arti.ento di.Fi.i.a Universita di Trento Povo (TN) 38123 Italy Di.arti.ento di.Fi.i.a Universita di Roma Tor Vergata Rome 00133 Italy i.AC-CNR Sesto Fiorentino (FI) 50019 Italy Di.arti.ento di.Fi.i.a e Astronomi. Universita di Bologna Bologna 40127 Italy i.ti.uto Nazi.nale di.Fi.i.a Nucleare (i.FN) Sezione di Bologna Bologna 40127 Italy i.ti.uto Nazi.nale di.Fi.i.a Nucleare (i.FN) Sezione di Napoli Naples 80126 Italy i.ti.uto Nazi.nale di.Fi.i.a Nucleare (i.FN) LNE Frascati (RM) 00044 Italy Agenzi. Spazi.le i.ali.na (ASi. SSDC Rome 00133 Italy

CSES(Chi.a Sei.mo-Electromagneti. Satelli.e) i. a mi.si.n developed by CNSA(Chi.ese Nati.nal Space Admi.i.trati.n) and ASi.i.ali.n Space Agency), to i.vesti.ate the near-Earth electromagneti., plasma and parti.le envi.onment, for studyi.g the sei.mo-associ.ted di.turbances i. the i.nosphere-magnetosphere transi.i.n zone. The anthropogeni. and electromagneti. noi.e,as well as the natural non-sei.mi. electromagneti. emi.si.ns i. mai.ly due to tropospheri. acti.i.y. i. parti.ular, the mi.si.n ai.s to confi.mi.g the exi.tence of possi.le temporal correlati.ns between the occurrence of earthquakes for medi.m and strong magni.ude and the observati.n i. space of electromagneti. perturbati.ns, plasma vari.ti.ns and preci.i.ati.n of bursts wi.h hi.henergy charged parti.les from the i.ner Van Allen belt. i. thi. framework, the hi.h energy parti.le detector(HEPD) of the CSES mi.si.n has been developed by the i.ali.n Li.ADOU Collaborati.n. HEPD i. an advanced detector based on a tower of sci.ti.lators and a si.i.on tracker that provi.es good energy and angular resoluti.n and a wi.e angular acceptance, for electrons of 3–100 Me V, protons of 30–200 Me V and li.ht nuclei.up to the oxygen. CSES satelli.e has been launched on February 2^(nd), 2018 from the Ji.quan Satelli.e Launch Center(Chi.a).

关键词： earthquake sei.mi.-precursors parti.le detector Van Allen belts magnetosphere i.nosphere space weather cosmi. rays

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