{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T07:07:46Z","timestamp":1743145666413,"version":"3.40.3"},"publisher-location":"Singapore","reference-count":25,"publisher":"Springer Singapore","isbn-type":[{"type":"print","value":"9789811598289"},{"type":"electronic","value":"9789811598296"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-981-15-9829-6_41","type":"book-chapter","created":{"date-parts":[[2021,3,17]],"date-time":"2021-03-17T22:02:50Z","timestamp":1616018570000},"page":"515-530","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Dynamics of a Class of Modified Leslie-Gower Predator-Prey Model with Strong Allee Effect on Prey and Non-monotonic Rational Functional Response"],"prefix":"10.1007","author":[{"given":"Udai","family":"Kumar","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Partha","family":"Sarathi Mandal","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,3,18]]},"reference":[{"key":"41_CR1","doi-asserted-by":"publisher","first-page":"1401","DOI":"10.1016\/j.nonrwa.2008.01.022","volume":"10","author":"P Aguirre","year":"2009","unstructured":"Aguirre, P., Gonz\u00e1lez-Olivares, E., S\u00e1ez, E.: Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect. Nonlinear Analys. Real World Appl. 10, 1401\u20131416 (2009)","journal-title":"Nonlinear Analys. Real World Appl."},{"issue":"5","key":"41_CR2","doi-asserted-by":"publisher","first-page":"1244","DOI":"10.1137\/070705210","volume":"69","author":"P Aguirre","year":"2009","unstructured":"Aguirre, P., Gonz\u00e1lez-Olivares, E., S\u00e1ez, E.: Three limit cycles in a Leslie-Gower predator-prey model with additive Allee effect. SIAM J. Appl. Math. 69(5), 1244\u20131269 (2009)","journal-title":"SIAM J. Appl. Math."},{"key":"41_CR3","unstructured":"Aziz-Alaoui, M.A., Daher Okiye, M.: Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes, Appl. Math. Lett. 16, 1069\u20131075 (2003)"},{"key":"41_CR4","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1006\/jtbi.1996.0363","volume":"186","author":"AD Bazykin","year":"1997","unstructured":"Bazykin, A.D., Berezovskaya, F.S., Isaev, A.S., Khlebopros, R.G.: Dynamics of forest insect density: bifurcation approach. J. Theoret. Biol. 186, 267\u2013278 (1997)","journal-title":"J. Theoret. Biol."},{"key":"41_CR5","doi-asserted-by":"crossref","unstructured":"Bazykin, A.D.: Nonlinear Dynamics of Interacting Populations. World Scientific (1998)","DOI":"10.1142\/2284"},{"key":"41_CR6","unstructured":"Chicone, C.: Ordinary Differential Equations with Applications (2nd edn.), Texts in Applied Mathematics, vol. 34, Springer (2006)"},{"key":"41_CR7","unstructured":"Clark, C.W.: Mathematical Bioeconomics: The Mathematics of Conservation, 3nd ed. John Wiley and Sons Inc. (2010)"},{"key":"41_CR8","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1016\/S0169-5347(99)01683-3","volume":"14","author":"F Courchamp","year":"1999","unstructured":"Courchamp, F., Clutton-Brock, T., Grenfell, B.: Inverse dependence and the Allee effect. Trends Ecol. Evol. 14, 405\u2013410 (1999)","journal-title":"Trends Ecol. Evol."},{"key":"41_CR9","doi-asserted-by":"crossref","unstructured":"Courchamp, F., Berec, L., Gascoigne, J.: Allee Effects in Ecology and Conservation. Oxford University Press (2008)","DOI":"10.1093\/acprof:oso\/9780198570301.001.0001"},{"key":"41_CR10","unstructured":"Gonz\u00e1lez-Olivares, E., Mena-Lorca, J., Rojas-Palma, A., Flores, J.D.: Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey. Appl. Math. Modell. 35, 366\u2013381 (2011)"},{"key":"41_CR11","doi-asserted-by":"publisher","first-page":"5183","DOI":"10.1002\/mma.3441","volume":"38","author":"E Gonz\u00e1lez-Olivares","year":"2015","unstructured":"Gonz\u00e1lez-Olivares, E., Gallego-Berr\u00edo, L.M., Gonz\u00e1lez-Ya\u00f1ez, B., Rojas-Palma, A.: Consequences of weak Allee effect on prey in the may-holling-tanner predator-prey model. Math. Methods Appl. Sci. 38, 5183\u20135196 (2015)","journal-title":"Math. Methods Appl. Sci."},{"issue":"01","key":"41_CR12","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1142\/S0218339015400094","volume":"23","author":"E Gonz\u00e1lez-Olivares","year":"2015","unstructured":"Gonz\u00e1lez-Olivares, E., Flores, J.D.: Consequences in an open access fishery model considering multiple Allee effects. J. Bio. Syst. 23(01), 101\u2013121 (2015)","journal-title":"J. Bio. Syst."},{"key":"41_CR13","doi-asserted-by":"crossref","unstructured":"Gonz\u00e1lez-Ya\u00f1ez, B., Gonz\u00e1lez-Olivares, E., Mena-Lorca, J.: Multistability on a leslie-gower type predator-prey model with nonmonotonic functional response. In: Mondaini, R., Dilao, R. (eds.) BIOMAT 2006\u2014International Symposium on Mathematical and Computational Biology. World Scientific Co. Pte. Ltd., pp. 359\u2013384 (2007)","DOI":"10.1142\/9789812708779_0023"},{"key":"41_CR14","doi-asserted-by":"publisher","first-page":"697","DOI":"10.1016\/S0893-9659(01)80029-X","volume":"14","author":"A Korobeinikov","year":"2001","unstructured":"Korobeinikov, A.: A Lyapunov function for Leslie-Gower predator-prey models. Appl. Math. Lett. 14, 697\u2013699 (2001)","journal-title":"Appl. Math. Lett."},{"key":"41_CR15","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1093\/biomet\/35.3-4.213","volume":"35","author":"PH Leslie","year":"1948","unstructured":"Leslie, P.H.: Some further notes on the use of matrices in Population Mathematics. Biometrika 35, 213\u2013245 (1948)","journal-title":"Biometrika"},{"key":"41_CR16","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1046\/j.1467-2979.2001.00029.x","volume":"2","author":"M Liermann","year":"2001","unstructured":"Liermann, M., Hilborn, R.: Depensation: evidence, models and implications. Fish Fish. 2, 33\u201358 (2001)","journal-title":"Fish Fish."},{"key":"41_CR17","doi-asserted-by":"crossref","unstructured":"May, R.M.: Stability and Complexity in Model Ecosystems, 2nd edn. Princeton University Press (2001)","DOI":"10.1515\/9780691206912"},{"key":"41_CR18","unstructured":"Mena-Lorca, J., Gonz\u00e1lez-Olivares, E., Gonz\u00e1lez-Ya, B.: The leslie-gower predator-prey model with Allee effct on prey: A simple model with a rich and interesting dynamics. In: Mondaini R. (ed.), Proceedings of the 2006 International Symposium on Mathematical and Computational Biology BIOMAT 2006, E-papers Servicios Editoriales Ltda., Rio de Janeiro, pp. 105\u2013132 (2007)"},{"key":"41_CR19","doi-asserted-by":"publisher","first-page":"1867","DOI":"10.1137\/S0036139997318457","volume":"59","author":"E S\u00e1ez","year":"1999","unstructured":"S\u00e1ez, E., Gonz\u00e1lez-Olivares, E.: Dynamics on a predator-prey model. SIAM J. Appl. Math. 59, 1867\u20131878 (1999)","journal-title":"SIAM J. Appl. Math."},{"key":"41_CR20","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1016\/S0169-5347(99)01684-5","volume":"14","author":"PA Stephens","year":"1999","unstructured":"Stephens, P.A., Sutherland, W.J.: Consequences of the Allee effect for behaviour, ecology and conservation. Trends Ecolog. Evol. 14, 401\u2013405 (1999)","journal-title":"Trends Ecolog. Evol."},{"key":"41_CR21","doi-asserted-by":"publisher","first-page":"185","DOI":"10.2307\/3547011","volume":"87","author":"PA Stephens","year":"1999","unstructured":"Stephens, P.A., Sutherland, W.J., Freckleton, R.P.: What is the Allee effect? Oikos 87, 185\u2013190 (1999)","journal-title":"Oikos"},{"key":"41_CR22","doi-asserted-by":"crossref","unstructured":"Taylor, R.J.: Predation. Chapman and Hall (1984)","DOI":"10.1007\/978-94-009-5554-7"},{"key":"41_CR23","unstructured":"Turchin, P.: Complex Population Dynamics. A Theoretical\/Empirical Synthesis, Monographs in Population Biology 35, Princeton University Press (2003)"},{"key":"41_CR24","doi-asserted-by":"publisher","first-page":"451","DOI":"10.1016\/j.mbs.2007.02.006","volume":"209","author":"GAK van Voorn","year":"2007","unstructured":"van Voorn, G.A.K., Hemerik, L., Boer, M.P., Kooi, B.W.: Heteroclinic orbits indicate overexploitation in predator-prey systems with a strong Allee. Math. Biosci. 209, 451\u2013469 (2007)","journal-title":"Math. Biosci."},{"key":"41_CR25","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1007\/s00285-010-0332-1","volume":"62","author":"J Wang","year":"2011","unstructured":"Wang, J., Shi, J., Wei, J.: Predator-prey system with strong Allee effect in prey. J. Mathe. Biol. 62, 291\u2013331 (2011)","journal-title":"J. Mathe. Biol."}],"container-title":["Smart Innovation, Systems and Technologies","Modeling, Simulation and Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-981-15-9829-6_41","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,17]],"date-time":"2021-03-17T22:13:03Z","timestamp":1616019183000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-981-15-9829-6_41"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9789811598289","9789811598296"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-981-15-9829-6_41","relation":{},"ISSN":["2190-3018","2190-3026"],"issn-type":[{"type":"print","value":"2190-3018"},{"type":"electronic","value":"2190-3026"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"18 March 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}