{"entities":{"Q1678":{"pageid":3324,"ns":120,"title":"Item:Q1678","lastrevid":7373,"modified":"2026-09-04T07:28:14Z","type":"item","id":"Q1678","labels":{"en":{"language":"en","value":"Counting equilibria of the harvested logistic equation by the discriminant"}},"descriptions":{},"aliases":{},"claims":{"P1":[{"mainsnak":{"snaktype":"value","property":"P1","hash":"6056844c4a6d3699fbafab69805eed5ca36eab0e","datavalue":{"value":{"entity-type":"item","numeric-id":4,"id":"Q4"},"type":"wikibase-entityid"},"datatype":"wikibase-item"},"type":"statement","id":"Q1678$24243AA7-C5F9-4837-A7D9-5F32C46AC25D","rank":"normal"}],"P4":[{"mainsnak":{"snaktype":"value","property":"P4","hash":"626c42083c94480921503feab691d856711355d4","datavalue":{"value":"rN\\\\Bigl(1-\\\\frac{N}{K}\\\\Bigr)-H=0\\\\ \\\\iff\\\\ \\\\frac{r}{K}N^{2}-rN+H=0;\\\\qquad \\\\Delta=r^{2}-\\\\frac{4rH}{K}\\\\ \\\\Rightarrow\\\\ \\\\text{two equilibria if }H<H_{c}=\\\\frac{rK}{4},\\\\ \\\\text{one if }H=H_{c},\\\\ \\\\text{none if }H>H_{c}","type":"string"},"datatype":"string"},"type":"statement","id":"Q1678$E6C7D2D0-62D0-40DC-9FA0-EA11BAF6EDB0","rank":"normal"}]},"sitelinks":{}}}}