{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:38:40Z","timestamp":1746805120310,"version":"3.40.5"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100013101","name":"Scientific Research Plan Projects of Shaanxi Education Department","doi-asserted-by":"crossref","award":["12JK0865","XAGDXJJ1136","11001160"],"award-info":[{"award-number":["12JK0865","XAGDXJJ1136","11001160"]}],"id":[{"id":"10.13039\/501100013101","id-type":"DOI","asserted-by":"crossref"}]},{"name":"President Fund of Xi\u2019an Technological University","award":["12JK0865","XAGDXJJ1136","11001160"],"award-info":[{"award-number":["12JK0865","XAGDXJJ1136","11001160"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12JK0865","XAGDXJJ1136","11001160"],"award-info":[{"award-number":["12JK0865","XAGDXJJ1136","11001160"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>This paper discusses a predator-prey system with Holling-(<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mi>n<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:math>) functional response and the fractional type nonlinear diffusion term in a bounded domain under homogeneous Neumann boundary condition. The existence and nonexistence results concerning nonconstant positive steady states of the system were obtained. In particular, we prove that the positive constant solution<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mover accent=\"true\"><mml:mrow><mml:mi>u<\/mml:mi><\/mml:mrow><mml:mo>~<\/mml:mo><\/mml:mover><mml:mo>,<\/mml:mo><mml:mover accent=\"true\"><mml:mrow><mml:mi>v<\/mml:mi><\/mml:mrow><mml:mo>~<\/mml:mo><\/mml:mover><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:math>is asymptotically stable when the parameter<jats:italic>k<\/jats:italic>satisfies some conditions.<\/jats:p>","DOI":"10.1155\/2013\/851028","type":"journal-article","created":{"date-parts":[[2013,4,4]],"date-time":"2013-04-04T22:29:10Z","timestamp":1365114550000},"page":"1-8","source":"Crossref","is-referenced-by-count":0,"title":["Positive Steady States of a Strongly Coupled Predator-Prey System with Holling-(<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mi>n<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:math>) Functional Response"],"prefix":"10.1155","volume":"2013","author":[{"given":"Xiao-zhou","family":"Feng","sequence":"first","affiliation":[{"name":"College of Science, Xi'an Technological University, Xi'an 710032, China"},{"name":"Institute of Mathematics, Shaanxi Normal University, Xi'an 710062, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhi-guo","family":"Wang","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Shaanxi Normal University, Xi'an 710062, 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