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SUMMARY:A prey-predator model with gestation period
DTSTART;VALUE=DATE-TIME:20180709T011000Z
DTEND;VALUE=DATE-TIME:20180709T013000Z
DTSTAMP;VALUE=DATE-TIME:20220811T020222Z
UID:indico-contribution-219@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Yoichi Enatsu (Tokyo University of Science)\nIn this
talk\, we consider the dynamics of a Lotka-Volterra prey-predator model b
y a class of delay differential equations. The number of prey varies due t
o a general nonlinear predators' consumption rate with delays. Under the a
ssumption that the consumption rate is monotonically increasing with respe
ct to the number of prey\, we investigate the effect of the nonlinearity a
nd delays on the asymptotic behaviour of the model. For the case where the
consumption rate is described not only as Holling type I\,II but also as
Holling type III\, some ongoing studies are also introduced. Comparison fo
r the assumptions on the incidence rates appearing in prey-predator models
with those in epidemiological models\, will be also discussed.\n\nhttps:/
/conferences.maths.unsw.edu.au/event/2/contributions/219/
LOCATION:University of Sydney New Law School/--028
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/219/
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