Lecture 6 Biomathematics ( FMAN 01 ) Anders Källén
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چکیده
of which the second requires α > 1 to exist biologically. When α < 1 the first is stable; it is unstable when the second exist, which in such a case is stable. To get further insight we look at the isoclines, i.e., the curves where the trajectories are parallel to one of the axes. In this case the equation s′ = 0 corresponds to the curve b = (s0 − s) 1+s s and the equation b′ = 0 to straignt lines: b = 0 and s = 1 α−1 . In the graph below the isoclines are drawn in red and arrows are drawn to show the direction of the vector field. They all have unit length, which sometimes gives the wrong impression – e.g., all vectors on the curve are in the vertical direction. Also included are two example trajectories (blue).
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تاریخ انتشار 2014