20.500.12556/DKUM-66146 Application of Mawhin’s coincidence degree and matrix spectral theory to a delayed system This paper gives an application of Mawhin’s coincidence degree and matrix spectral theory to a predator-prey model with M-predators and N-preys. The method is different from that used in the previous work. Some new sufficient conditions are obtained for the existence and global asymptotic stability of the periodic solution. The existence and stability conditions are given in terms of spectral radius of explicit matrices which are much different from the conditions given by the algebraic inequalities. Finally, an example is given to show the feasibility of our results. coincidence degree Jean Mawhin predator-prey model spectral theory stopnja naključja Jean Mawhin model plenilec-plen spektralna teorija true true true Angleški jezik Slovenski jezik Znanstveno delo 2017-06-12 12:33:16 2017-06-12 12:40:04 2022-07-10 03:06:32 2019-07-11 15:41:24 2012 0 0 str. 1-19 2012 2012 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1687-0409 9761822 10.1155/2012/940287 1687-0409 URN:SI:UM:DK:E0HLCMVI Abstract_and_Applied_Analysis_2012_Xia_et_al._Application_of_Mawhin_s_Coincidence_Degree_and_Matrix_Spectral_Theory_to_a_Delayed_System.pdf Abstract_and_Applied_Analysis_2012_Xia_et_al._Application_of_Mawhin_s_Coincidence_Degree_and_Matrix_Spectral_Theory_to_a_Delayed_System.pdf 1 67F29DC51E64CB82A5ACA4EAF714BBC0 f4dfbf4e72c87c755bc03080049d5324c09312f3fd4d5ea1055c882a506642cb 3bc98816-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=112399 Univerza v Mariboru 0 0 0