?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Facta.bibl.u-szeged.hu%2F69524%2F&rft.title=A+model+for+spatial+spreading+and+dynamics+of+fox+rabies+on+a+growing+domain&rft.creator=+Meng+Jue&rft.creator=+Lin+Zhigui&rft.creator=+Pedersen+Michael&rft.description=In+order+to+explore+the+impact+of+the+growth+rate+of+the+habitat+on+the+transmission+of+rabies%2C+we+consider+a+SEI+model+for+fox+rabies+on+a+growing+spatial+domain.+The+basic+reproduction+number+is+introduced+using+the+next+infection+operator%2C+spectral+analysis+and+the+corresponding+eigenvalue+problem.+The+stability+of+equilibria+is+also+established+using+the+upper+and+lower+solutions+method+in+terms+of+this+number.+Our+results+show+that+a+large+growth+rate+of+the+domain+has+a+negative+impact+on+the+prevention+and+control+of+rabies.+Numerical+simulations+are+presented+to+verify+our+theoretical+results.&rft.date=2020&rft.type=Foly%C3%B3irat&rft.type=NonPeerReviewed&rft.format=full&rft.language=hu&rft.identifier=http%3A%2F%2Facta.bibl.u-szeged.hu%2F69524%2F1%2Fejqtde_2020_020.pdf&rft.identifier=+++Meng+Jue%3B++Lin+Zhigui%3B++Pedersen+Michael%3A+++A+model+for+spatial+spreading+and+dynamics+of+fox+rabies+on+a+growing+domain.++(2020)+++