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SUMMARY:Amirhosein Sadeghimanesh (Coventry University)
DTSTART;VALUE=DATE-TIME:20210422T153000Z
DTEND;VALUE=DATE-TIME:20210422T160000Z
DTSTAMP;VALUE=DATE-TIME:20210803T191951Z
UID:MoRN/22
DESCRIPTION:Title: St
udying dynamical behavior of the three connected populations with Allee ef
fect using algebraic tools\nby Amirhosein Sadeghimanesh (Coventry Univ
ersity) as part of Seminar on the Mathematics of Reaction Networks\n\n\nAb
stract\nWe consider three connected populations with the strong Allee effe
ct\, and give a complete classification of the steady state structure of t
he system with respect to the Allee threshold and the dispersal rate. One
may expect that by increasing the dispersal rate between the patches\, the
system would become more well-mixed hence simpler. However\, we show that
it is not always the case\, and the number of steady states may (temporar
ily) increase by increasing the dispersal rate. Besides sequences of pitch
fork and saddle-node bifurcations\, we find triple-transcritical bifurcati
ons and also a sun-ray shaped bifurcation where twelve steady states meet
at a single point then disappear. The major tool of our investigations is
a novel algorithm that decomposes the parameter space with respect to the
number of steady states using cylindrical algebraic decomposition with res
pect to the discriminant variety of the polynomial system. This is a joint
work with Gergely RĂ¶st.\n
LOCATION:https://researchseminars.org/talk/MoRN/22/
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