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Bifurcation Chaos"],"published-print":{"date-parts":[[2018,3]]},"abstract":"<jats:p>In this paper, we study a class of nonlocal dispersal problem with a nonlocal term arising in population dynamics: [Formula: see text] where [Formula: see text] is a bounded domain, [Formula: see text], [Formula: see text] represents the nonlocal dispersal operator with continuous and non-negative dispersal kernel. The kernel [Formula: see text] is assumed to be non-negative and is allowed to have a degeneracy in a smooth subdomain [Formula: see text] of [Formula: see text]. When [Formula: see text] is either positive or vanishes in a subdomain, we respectively investigate the existence, multiplicity and asymptotical stability of positive steady states under the local\/global variation of parameter by means of sub-supersolution method, Lyapunov\u2013Schmidt reduction, and bifurcation theory.<\/jats:p>","DOI":"10.1142\/s0218127418500335","type":"journal-article","created":{"date-parts":[[2018,4,12]],"date-time":"2018-04-12T09:18:04Z","timestamp":1523524684000},"page":"1850033","source":"Crossref","is-referenced-by-count":6,"title":["Dynamics of a Nonlocal Dispersal Model with a Nonlocal Reaction Term"],"prefix":"10.1142","volume":"28","author":[{"given":"Li","family":"Ma","sequence":"first","affiliation":[{"name":"College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, P. R. 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