@Article{EAJAM-6-384, author = {}, title = {Dynamics of a Modified Predator-Prey System to Allow for a Functional Response and Time Delay}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {6}, number = {4}, pages = {384--399}, abstract = {

A modified predator-prey system described by two differential equations and an algebraic equation is discussed. Formulae for determining the direction of a Hopf bifurcation and the stability of the bifurcating periodic solutions are derived differential-algebraic system theory, bifurcation theory and centre manifold theory. Numerical simulations illustrate the results, which includes quite complex dynamical behaviour.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.141214.050616a}, url = {http://global-sci.org/intro/article_detail/eajam/10806.html} }