{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,25]],"date-time":"2026-01-25T23:24:37Z","timestamp":1769383477967,"version":"3.49.0"},"reference-count":26,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,1]]},"abstract":"<jats:p> A delay predator\u2013prey model is formulated with continuous threshold prey harvesting and Holling response function of type III. Global qualitative and bifurcation analyses are combined to determine the global dynamics of the model. The positive invariance of the non-negative orthant is proved and the uniform boundedness of the trajectories. Stability of equilibria is investigated and the existence of some local bifurcations is established: saddle-node bifurcation, Hopf bifurcation. We use optimal control theory to provide the correct approach to natural resource management. Results are also obtained for optimal harvesting. Numerical simulations are given to illustrate the results. <\/jats:p>","DOI":"10.1142\/s0218127415500121","type":"journal-article","created":{"date-parts":[[2015,2,2]],"date-time":"2015-02-02T10:03:54Z","timestamp":1422871434000},"page":"1550012","source":"Crossref","is-referenced-by-count":5,"title":["Bifurcation Analysis and Optimal Harvesting of a Delayed Predator\u2013Prey Model"],"prefix":"10.1142","volume":"25","author":[{"given":"P.","family":"Tchinda Mouofo","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Yaounde I, P. O. Box 812 Yaounde, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R.","family":"Djidjou Demasse","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Yaounde I, P. O. Box 812 Yaounde, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. J.","family":"Tewa","sequence":"additional","affiliation":[{"name":"National Advanced School of Engineering, University of Yaounde I, P. O. Box 8390 Yaounde, Cameroon"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. A.","family":"Aziz-Alaoui","sequence":"additional","affiliation":[{"name":"Laboratoire de Mathematiques Appliquees, University of Le Havre, B. 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