{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T18:18:05Z","timestamp":1783189085516,"version":"3.54.6"},"reference-count":36,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100007129","name":"Shandong Province Natural Science Foundation","doi-asserted-by":"publisher","award":["ZR2022QA075"],"award-info":[{"award-number":["ZR2022QA075"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Biosciences"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.mbs.2026.109707","type":"journal-article","created":{"date-parts":[[2026,4,26]],"date-time":"2026-04-26T05:57:41Z","timestamp":1777183061000},"page":"109707","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Spatial pattern regulation in pine wilt disease models with feedback mechanisms"],"prefix":"10.1016","volume":"397","author":[{"given":"Daifeng","family":"Duan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8992-153X","authenticated-orcid":false,"given":"Min","family":"Xiao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.mbs.2026.109707_bib0001","article-title":"Exploration of the implementation of carbon neutralization in the field of natural resources under the background of sustainable development-an overview","volume":"19","author":"Wu","year":"2022","journal-title":"Int. J. Environ. Res. Public Health"},{"issue":"1","key":"10.1016\/j.mbs.2026.109707_bib0002","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s13273-020-00110-9","article-title":"The pine wood nematode Bursaphelenchus xylophilus and molecular diagnostic methods","volume":"17","author":"Lee","year":"2021","journal-title":"Mol. Cell. Toxicol."},{"key":"10.1016\/j.mbs.2026.109707_bib0003","doi-asserted-by":"crossref","DOI":"10.1007\/s00285-025-02236-7","article-title":"Dynamical analysis of a pine wilt disease model with memory-based diffusion and nonlocal effect","volume":"91","author":"Li","year":"2025","journal-title":"J. Math. Biol."},{"issue":"9","key":"10.1016\/j.mbs.2026.109707_bib0004","doi-asserted-by":"crossref","first-page":"3479","DOI":"10.3934\/dcdsb.2025030","article-title":"Spatial pattern formation in pine wilt disease model with prey-taxis and nonlocal competition","volume":"30","author":"Hou","year":"2025","journal-title":"Discrete Contin. Dyn. Syst. Ser. B"},{"key":"10.1016\/j.mbs.2026.109707_bib0005","doi-asserted-by":"crossref","DOI":"10.1016\/j.mbs.2025.109524","article-title":"Dynamics of a pine wilt disease control model with nonlocal competition and memory diffusion","volume":"389","author":"Ding","year":"2025","journal-title":"Math. Biosci."},{"issue":"2","key":"10.1016\/j.mbs.2026.109707_bib0006","first-page":"227","article-title":"Nemtaode-vector relationships in the pine wilt disease system","volume":"20","author":"Linit","year":"1988","journal-title":"J. Nematol."},{"issue":"4","key":"10.1016\/j.mbs.2026.109707_bib0007","doi-asserted-by":"crossref","first-page":"1312","DOI":"10.1137\/23M1575305","article-title":"Spatiotemporal dynamic analysis of delayed diffusive pine wilt disease model with nonlocal effect","volume":"84","author":"Hou","year":"2024","journal-title":"SIAM J. Appl. Math."},{"issue":"4","key":"10.1016\/j.mbs.2026.109707_bib0008","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s12038-021-00208-9","article-title":"Role of pine wilt disease based on optimal control strategy at multiple scales: a case study of Korea","volume":"46","author":"Ozair","year":"2021","journal-title":"J. Biosci."},{"issue":"1","key":"10.1016\/j.mbs.2026.109707_bib0009","first-page":"110","article-title":"Temperature effects on the transmission of Bursaphelenchus xylophilus (Nemata: Aphelenchoididae) by Monochamus alternatus (Coleoptera: Cerambycidae)","volume":"32","author":"Jikumaru","year":"2000","journal-title":"J. Nematol."},{"key":"10.1016\/j.mbs.2026.109707_bib0010","doi-asserted-by":"crossref","first-page":"793","DOI":"10.1016\/j.amc.2013.09.061","article-title":"Stability analysis and optimal control of pine wilt disease with horizontal transmission in vector population","volume":"226","author":"Lee","year":"2014","journal-title":"Appl. Math. Comput."},{"issue":"10","key":"10.1016\/j.mbs.2026.109707_bib0011","doi-asserted-by":"crossref","first-page":"1316","DOI":"10.1111\/ele.12165","article-title":"Spatial memory and animal movement","volume":"16","author":"Fagan","year":"2013","journal-title":"Ecol. Lett."},{"key":"10.1016\/j.mbs.2026.109707_bib0012","doi-asserted-by":"crossref","first-page":"3188","DOI":"10.1088\/1361-6544\/ab1f2f","article-title":"Diffusive spatial movement with memory and maturation delays","volume":"32","author":"Shi","year":"2019","journal-title":"Nonlinearity"},{"key":"10.1016\/j.mbs.2026.109707_bib0013","doi-asserted-by":"crossref","first-page":"1635","DOI":"10.1007\/s10884-022-10180-z","article-title":"Double Hopf bifurcation analysis in the memory-based diffusion system","volume":"36","author":"Song","year":"2024","journal-title":"J. Dyn. Differ. Equat."},{"key":"10.1016\/j.mbs.2026.109707_bib0014","article-title":"Dynamic analysis of pine wilt disease model with memory diffusion and nonlocal effect","volume":"179","author":"Hou","year":"2024","journal-title":"Chao. Soli. Frac."},{"issue":"1","key":"10.1016\/j.mbs.2026.109707_bib0015","doi-asserted-by":"crossref","first-page":"437","DOI":"10.3934\/mbe.2023020","article-title":"Stability and bifurcation control for a fractional-order chemostat model with time delays and incommensurate orders","volume":"20","author":"Ma","year":"2023","journal-title":"Math. Biosci. Eng."},{"issue":"3","key":"10.1016\/j.mbs.2026.109707_bib0016","doi-asserted-by":"crossref","DOI":"10.1063\/5.0176724","article-title":"How to regulate pattern formations for malware propagation in cyber-physical systems","volume":"34","author":"Cheng","year":"2024","journal-title":"Chaos"},{"key":"10.1016\/j.mbs.2026.109707_bib0017","article-title":"Control of tipping in a small-world network model via a novel dynamic delayed feedback scheme","volume":"168","author":"He","year":"2023","journal-title":"Chao. Soli. Frac."},{"key":"10.1016\/j.mbs.2026.109707_bib0018","doi-asserted-by":"crossref","first-page":"4334","DOI":"10.1109\/TSMC.2019.2933570","article-title":"Fractional-order PID controller synthesis for bifurcation of fractional-order small-world networks","volume":"51","author":"Xiao","year":"2019","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"10.1016\/j.mbs.2026.109707_bib0019","article-title":"Construction and optimization of ecological security patterns in Chinese black soil areas considering ecological importance and vulnerability","volume":"15","author":"Chen","year":"2025","journal-title":"Sci. Rep."},{"key":"10.1016\/j.mbs.2026.109707_bib0020","doi-asserted-by":"crossref","DOI":"10.1016\/j.mbs.2025.109506","article-title":"Optimal control of eggplant pest populations in a predator-prey-parasitoid model with seasonal growth effects","volume":"387","author":"Zevika","year":"2025","journal-title":"Math. Biosci."},{"key":"10.1016\/j.mbs.2026.109707_bib0021","first-page":"863","article-title":"On the zeros of transcendental functions with applications to stability of delay differential equations with two delays","volume":"10","author":"Ruan","year":"2003","journal-title":"Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal."},{"key":"10.1016\/j.mbs.2026.109707_bib0022","series-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","author":"Wiggins","year":"2003"},{"key":"10.1016\/j.mbs.2026.109707_bib0023","doi-asserted-by":"crossref","first-page":"2217","DOI":"10.1090\/S0002-9947-00-02280-7","article-title":"Normal forms and Hopf bifurcation for partial differential equations with delays","volume":"352","author":"Faria","year":"2000","journal-title":"Trans. Am. Math. Soc."},{"key":"10.1016\/j.mbs.2026.109707_bib0024","series-title":"Theory and Applications of Partial Functional-Differential Equations","author":"Wu","year":"1996"},{"key":"10.1016\/j.mbs.2026.109707_bib0025","doi-asserted-by":"crossref","first-page":"1098","DOI":"10.1007\/s11538-007-9292-z","article-title":"On the delayed Ross-Macdonald model for malaria transmission","volume":"70","author":"Ruan","year":"2008","journal-title":"Bull. Math. Biol."},{"issue":"81","key":"10.1016\/j.mbs.2026.109707_bib0026","doi-asserted-by":"crossref","DOI":"10.1098\/rsif.2012.0921","article-title":"A systematic review of mathematical models of mosquito-borne pathogen transmission: 1970-2010","volume":"10","author":"Reiner","year":"2013","journal-title":"J. R. Soc. Interface"},{"key":"10.1016\/j.mbs.2026.109707_bib0027","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1007\/s11538-021-00972-7","article-title":"Vector-borne disease models with active and inactive vectors: a simple way to consider biting behavior","volume":"84","author":"Simoy","year":"2022","journal-title":"Bull. Math. Biol."},{"issue":"3","key":"10.1016\/j.mbs.2026.109707_bib0028","doi-asserted-by":"crossref","first-page":"2184","DOI":"10.3934\/dcdsb.2022163","article-title":"Global asymptotic stability of endemic equilibria for a diffusive SIR epidemic model with saturated incidence and logistic growth","volume":"28","author":"Chiyo","year":"2023","journal-title":"Discrete Contin. Dyn. Syst. Ser. B"},{"key":"10.1016\/j.mbs.2026.109707_bib0029","doi-asserted-by":"crossref","first-page":"972","DOI":"10.1017\/S095679252400086X","article-title":"Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics","volume":"36","author":"Ahmadpoortorkamani","year":"2025","journal-title":"Eur. J. Appl. Math."},{"issue":"4","key":"10.1016\/j.mbs.2026.109707_bib0030","doi-asserted-by":"crossref","DOI":"10.1371\/journal.ppat.1002588","article-title":"Ross, Macdonald, and a theory for the dynamics and control of mosquito-transmitted pathogens","volume":"8","author":"Smith","year":"2012","journal-title":"PLoS Pathog."},{"key":"10.1016\/j.mbs.2026.109707_bib0031","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/0025-5564(78)90006-8","article-title":"A generalization of the Kermack-McKendrick deterministic epidemic model","volume":"42","author":"Capasso","year":"1978","journal-title":"Math. Biosci."},{"issue":"03","key":"10.1016\/j.mbs.2026.109707_bib0032","first-page":"92","article-title":"The establishment of an ecological infection model of pine wilt disease based on nonlinear variation of saturation incidence and the time-delay of the disease control","volume":"56","author":"Dong","year":"2023","journal-title":"Acta. Sci. Natl. Univ. Nankaiensis"},{"key":"10.1016\/j.mbs.2026.109707_bib0033","first-page":"1","article-title":"Global stability of a host-vector model for pine wilt disease with nonlinear incidence rate","volume":"2014","author":"Lee","year":"2025","journal-title":"Abstr. Appl. Anal."},{"key":"10.1016\/j.mbs.2026.109707_bib0034","first-page":"199","article-title":"Analysis on the effect of releasing Guanshi sweetleg bee to control pine brown longhorn","volume":"3","author":"Zhang","year":"2006","journal-title":"AnHui Forestry"},{"key":"10.1016\/j.mbs.2026.109707_bib0035","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/s13593-018-0488-4","article-title":"Edge-biased distributions of insects. a review","volume":"38","author":"Nguyen","year":"2018","journal-title":"Agron. Sustain. Dev."},{"key":"10.1016\/j.mbs.2026.109707_bib0036","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1007\/s11538-021-00913-4","article-title":"Isolating patterns in open reaction-diffusion systems","volume":"83","author":"Krause","year":"2021","journal-title":"Bull. Math. Biol."}],"container-title":["Mathematical Biosciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0025556426000970?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0025556426000970?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T17:51:07Z","timestamp":1783187467000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0025556426000970"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":36,"alternative-id":["S0025556426000970"],"URL":"https:\/\/doi.org\/10.1016\/j.mbs.2026.109707","relation":{},"ISSN":["0025-5564"],"issn-type":[{"value":"0025-5564","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Spatial pattern regulation in pine wilt disease models with feedback mechanisms","name":"articletitle","label":"Article Title"},{"value":"Mathematical Biosciences","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.mbs.2026.109707","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"109707"}}