Lub mis rau kev loj hlob logistic yog dab tsi?

2024 Tus sau: Stanley Ellington | [email protected]. Kawg hloov kho: 2023-12-16 00:17

Sib npaug rau Logistic Pejxeem Kev loj hlob

Lub sij hawm rau pej xeem kev loj hlob tus nqi yog sau li (dN/dt). Qhov d tsuas yog txhais tau tias hloov. K sawv cev rau lub peev xwm nqa, thiab r yog qhov siab tshaj plaws rau ib tus neeg kev loj hlob tus nqi rau cov pejxeem. Cov logistic loj sib npaug xav tias K thiab r tsis hloov raws sijhawm hauv cov pejxeem.

Ntxiv mus, koj yuav nrhiav tau qhov sib npaug logistic li cas?

dPdt=rP(1-PK). Cov logistic sib npaug yog thawj zaug luam tawm los ntawm Pierre Verhulst hauv 1845. Qhov kev sib txawv no sib npaug tuaj yeem ua ke nrog qhov pib mob P(0) = P0 los tsim qhov teeb meem pib-tus nqi rau P(t). Xav tias thawj cov pej xeem yog me me piv rau lub peev xwm nqa tau.

Tom qab, lo lus nug yog, vim li cas nws thiaj li hu ua logistic loj hlob? Lub ntsiab lus 1: Logistic pejxeem kev loj hlob Lub sij hawm " logistic " yog thawj zaug invented nyob rau hauv lub xyoo pua puv 19 los piav txog cov pejxeem kev loj hlob nkhaus Lub tswv yim yog yooj yim heev. Pejxeem kev loj hlob txwv, yog li tsis tuaj yeem tshaj qee tus nqi peb yuav hu rau Nmax.

Tib neeg kuj nug, dab tsi yog lub mis rau kev loj hlob exponential?

Nco ntsoov qhov qub exponential formula y = ab^{x kev}. Koj yuav pom tias hauv cov tshiab no kev loj hlob thiab lwj muaj nuj nqi , tus nqi b ( kev loj hlob factor) tau hloov los ntawm (1 + r) lossis los ntawm (1 - r). Cov kev loj hlob "rate" (r) yog txiav txim siab li b = 1 + r.

Logistic txhais li cas hauv lej?

Cov logistic equation (qee zaum hu ua Verhulst qauv lossis logistic kev loj hlob nkhaus) yog tus qauv ntawm cov pejxeem loj hlob thawj zaug luam tawm los ntawm Pierre Verhulst (1845, 1847). Lub discrete version ntawm lub logistics kev sib npaug (3) yog lub npe hu ua logistics daim ntawv qhia. Qhov nkhaus. (4) tau los ntawm (3) yog qee zaum hu ua tus logistics nkhaus.