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TZID:Europe/Budapest
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UID:017d2kumk6fq0s7vtb8tvce8m4@google.com
CATEGORIES:{lang hu}Differenciálegyenletek szeminárium{/lang}{lang en}Differential equations seminar{/lang}
SUMMARY:Renji Han (University of Szeged): Cross-diffusion-driven pattern formation and selection in a predator-prey model with fear effect
LOCATION:Zoom Online Seminar, Meeting ID: 868 7283 8317
DESCRIPTION;ENCODING=QUOTED-PRINTABLE:
Differential Equations Online Seminar Zoom link
Abstract. In this talk, we are interested
in pattern dynamics for a modified Leslie-Gower-type model with cross-diffu
sion and indirect predation effect. Firstly, we prove the well-posedness of
the considered model. Then linear stability analysis shows that the cross-
diffusion is the key mechanism of spatiotemporal pattern formation. Amplitu
de equations are derived near Turing bifurcation point to interpret pattern
selection among spot pattern, stripe pattern and the mixture of spots and
stripes pattern, which reflects the species' spatially inhomogeneous distri
bution. Finally, numerical simulations illustrate the effectiveness of all
theoretical results, and it is also found that the fear has great influence
on spatially inhomogeneous distribution of the two species under certain c
ross-diffusivity.
DTSTAMP:20240329T001131Z
DTSTART;TZID=Europe/Budapest:20201120T130000
DTEND;TZID=Europe/Budapest:20201120T150000
SEQUENCE:0
TRANSP:OPAQUE
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