BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Amirhosein Sadeghimanesh (Coventry University) DTSTART:20210422T153000Z DTEND:20210422T160000Z DTSTAMP:20260418T091142Z 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 Röst.\n LOCATION:https://researchseminars.org/talk/MoRN/22/ END:VEVENT END:VCALENDAR