|
|
Hopf bifurcation of a differential-algebraic bioeconomic model with time delay
|
|
|
|
|
نویسنده
|
zhou x. ,chen x. ,song y.
|
منبع
|
journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
|
چکیده
|
We investigate the dynamics of a differential-algebraic bioeconomic model with two time delays. regarding time delay as a bifurcation parameter,we show that a sequence of hopf bifurcations occur at the positive equilibrium as the delay increases. using the theories of normal form and center manifold,we also give the explicit algorithm for determining the direction of the hopf bifurcations and the stability of the bifurcating periodic solutions. numerical tests are provided to verify our theoretical analysis. © 2012 xiaojian zhou et al.
|
|
|
آدرس
|
jiangsu key laboratory for nslscs,school of mathematical sciences,nanjing normal university,nanjing 210023,china,school of science,nantong university, China, jiangsu key laboratory for nslscs,school of mathematical sciences,nanjing normal university, China, jiangsu key laboratory for nslscs,school of mathematical sciences,nanjing normal university, China
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|