Introducing a Population into a Steady Community: The Critical Case, the Center Manifold, and the Direction of Bifurcation

DOI10.1137/050629082zbMath1096.37054OpenAlexW2004880157MaRDI QIDQ5470319

Barbara Boldin

Publication date: 30 May 2006

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d112d598d6e2150da69798847e7e361beda0cbc8

zbMATH Keywords

populationtranscritical bifurcationcenter manifoldbasic reproduction ratiospeciespopulation modelinvasibilitynext generation matrixdirection of bifurcationfinitely many states at birthphysiologically structured population\(i\)-state\(p\)-statereproductively isolated

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10) Dynamics induced by flows and semiflows (37C10) Ecology (92D40)

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