TY - JOUR
T1 - Effects of immigration on the dynamics of simple population models
AU - Stone, Lewi
AU - Hart, Deborah
PY - 1999/6
Y1 - 1999/6
N2 - Many simple population models exhibit the period doubling route to chaos as a single parameter, commonly the growth rate, is increased. Here we examine the effect of an immigration process on such models and explain why in the case of one-dimensional ('single-humped') maps, immigration often tends to suppress chaos and stabilise equilibrium behaviour or cyclical oscillations of long period. The conditions for which an increase of immigration 'simplifies' population dynamics are examined.
AB - Many simple population models exhibit the period doubling route to chaos as a single parameter, commonly the growth rate, is increased. Here we examine the effect of an immigration process on such models and explain why in the case of one-dimensional ('single-humped') maps, immigration often tends to suppress chaos and stabilise equilibrium behaviour or cyclical oscillations of long period. The conditions for which an increase of immigration 'simplifies' population dynamics are examined.
UR - http://www.scopus.com/inward/record.url?scp=0033150741&partnerID=8YFLogxK
U2 - 10.1006/tpbi.1998.1393
DO - 10.1006/tpbi.1998.1393
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AN - SCOPUS:0033150741
VL - 55
SP - 227
EP - 234
JO - Theoretical Population Biology
JF - Theoretical Population Biology
SN - 0040-5809
IS - 3
ER -
