{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,3]],"date-time":"2026-07-03T00:58:07Z","timestamp":1783040287363,"version":"3.54.6"},"reference-count":35,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T00:00:00Z","timestamp":1718755200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T00:00:00Z","timestamp":1718755200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2024,7]]},"DOI":"10.1007\/s40314-024-02804-5","type":"journal-article","created":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T13:04:42Z","timestamp":1718802282000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Probing the effects of fiscal policy delays in macroeconomic IS\u2013LM model"],"prefix":"10.1007","volume":"43","author":[{"given":"Akanksha","family":"Rajpal","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1946-0691","authenticated-orcid":false,"given":"Sumit Kaur","family":"Bhatia","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Praveen","family":"Kumar","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,6,19]]},"reference":[{"key":"2804_CR1","doi-asserted-by":"publisher","first-page":"281","DOI":"10.1155\/S1026022600000583","volume":"5","author":"T Asada","year":"2000","unstructured":"Asada T, Yoshida H (2000) Stability, instability and complex behavior in macrodynamic models with policy lag. Discrete Dyn Nat Soc 5:281\u2013295","journal-title":"Discrete Dyn Nat Soc"},{"issue":"5","key":"2804_CR2","doi-asserted-by":"publisher","first-page":"1144","DOI":"10.1137\/S0036141000376086","volume":"33","author":"E Beretta","year":"2002","unstructured":"Beretta E, Kuang Y (2002) Geometric stability switch criteria in delay differential systems with delay-dependent parameters. SIAM J Math Anal 33(5):1144\u20131165","journal-title":"SIAM J Math Anal"},{"key":"2804_CR3","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1007\/978-3-642-02897-7_13","volume":"388","author":"D Breda","year":"2009","unstructured":"Breda D, Maset S, Vermiglio R (2009) TRACE-DDE: a tool for robust analysis and characteristic equations for delay differential equations. Top Time Delay Syst 388:145\u2013155","journal-title":"Top Time Delay Syst"},{"issue":"4","key":"2804_CR4","doi-asserted-by":"publisher","first-page":"433","DOI":"10.1016\/j.chaos.2011.10.013","volume":"45","author":"LD Cesare","year":"2012","unstructured":"Cesare LD, Sportelli M (2012) Fiscal policy lags and income adjustment processes. Chaos Solitons Fractals 45(4):433\u2013438","journal-title":"Chaos Solitons Fractals"},{"issue":"1","key":"2804_CR5","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1016\/j.chaos.2004.11.044","volume":"25","author":"LD Cesare","year":"2005","unstructured":"Cesare LD, Sportelli M (2005) A dynamic IS\u2013LM model with delayed taxation revenues. Chaos Solitons Fractals 25(1):233\u2013244","journal-title":"Chaos Solitons Fractals"},{"key":"2804_CR6","doi-asserted-by":"publisher","first-page":"592","DOI":"10.1016\/0022-247X(82)90243-8","volume":"86","author":"KL Cooke","year":"1982","unstructured":"Cooke KL, Grossman Z (1982) Discrete delay, distributed delay and stability switches. J Math Anal Appl 86:592\u2013627","journal-title":"J Math Anal Appl"},{"issue":"2","key":"2804_CR7","doi-asserted-by":"publisher","first-page":"736","DOI":"10.1016\/j.chaos.2005.11.024","volume":"32","author":"L Fanti","year":"2007","unstructured":"Fanti L, Manfredi P (2007) Chaotic business cycles and fiscal policy: an IS\u2013LM model with distributed tax collection lags. Chaos Solitons Fractals 32(2):736\u2013744","journal-title":"Chaos Solitons Fractals"},{"key":"2804_CR8","first-page":"341","volume":"51","author":"L Fanti","year":"2004","unstructured":"Fanti L (2004) Fiscal policy and tax collection lags: stability, cycles and chaos. Rivista internazionale di scienze economiche e commerciali 51:341\u2013365","journal-title":"Rivista internazionale di scienze economiche e commerciali"},{"key":"2804_CR9","unstructured":"Fiscal and monetary policies to deal with slowdown due to COVID-19. https:\/\/pib.gov.in\/PressReleasePage.aspx?PRID=1656925"},{"issue":"3","key":"2804_CR10","first-page":"245","volume":"38","author":"M Friedman","year":"1948","unstructured":"Friedman M (1948) A monetary and fiscal framework for economic stability. Am Econ Rev 38(3):245\u2013264","journal-title":"Am Econ Rev"},{"key":"2804_CR11","unstructured":"GDP per capita of India. https:\/\/statisticstimes.com\/economy\/country\/india-gdp-per-capita.php"},{"key":"2804_CR12","unstructured":"Hassard BD, Kazarionoff ND, Wan YH (1981) Theory and applications of Hopf bifurcation. 41. CUP Archive"},{"key":"2804_CR13","doi-asserted-by":"publisher","first-page":"524","DOI":"10.1016\/j.apm.2013.06.041","volume":"38","author":"Z Hu","year":"2014","unstructured":"Hu Z, Zhang J, Wang H, Ma W, Liao F (2014) Dynamics of a delayed viral infection model with logistic growth and immune impairment. Appl Math Model 38:524\u2013534","journal-title":"Appl Math Model"},{"issue":"1","key":"2804_CR14","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/j.chaos.2004.09.075","volume":"25","author":"X Liao","year":"2005","unstructured":"Liao X, Li C, Zhou S (2005) Hopf bifurcation and chaos in macroeconomic models with policy lag. Chaos Solitons Fractals 25(1):91\u2013108","journal-title":"Chaos Solitons Fractals"},{"issue":"4","key":"2804_CR15","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1111\/j.1467-999X.2008.00334.x","volume":"59","author":"A Matsumoto","year":"2008","unstructured":"Matsumoto A (2008) Destabilizing effects on income adjustment process with fiscal policy lags. Metroeconomica 59(4):713\u2013735","journal-title":"Metroeconomica"},{"issue":"2","key":"2804_CR16","doi-asserted-by":"publisher","first-page":"519","DOI":"10.1016\/j.chaos.2006.03.052","volume":"34","author":"M Neamtu","year":"2007","unstructured":"Neamtu M, Opris D, Chilarescu C (2007) Hopf bifurcation in a dynamic IS\u2013LM model with time delay. Chaos Solitons Fractals 34(2):519\u2013530","journal-title":"Chaos Solitons Fractals"},{"issue":"266","key":"2804_CR17","doi-asserted-by":"publisher","first-page":"265","DOI":"10.2307\/2227788","volume":"67","author":"AW Phillips","year":"1957","unstructured":"Phillips AW (1957) Stabilisation policy and the time-forms of lagged responses. Econ J 67(266):265\u2013277","journal-title":"Econ J"},{"issue":"254","key":"2804_CR18","doi-asserted-by":"publisher","first-page":"290","DOI":"10.2307\/2226835","volume":"64","author":"AW Phillips","year":"1954","unstructured":"Phillips AW (1954) Stabilisation policy in a closed economy. Econ J 64(254):290\u2013323","journal-title":"Econ J"},{"key":"2804_CR19","doi-asserted-by":"publisher","first-page":"107758","DOI":"10.1016\/j.cnsns.2023.107758","volume":"130","author":"A Rajpal","year":"2024","unstructured":"Rajpal A, Bhatia SK, Goel S, Kumar P (2024) Time delays in skill development and vacancy creation: effects on unemployment through mathematical modelling. Commun Nonlinear Sci Numer Simul 130:107758","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"2804_CR20","doi-asserted-by":"publisher","first-page":"100196","DOI":"10.1016\/j.rico.2022.100196","volume":"10","author":"A Rajpal","year":"2023","unstructured":"Rajpal A, Bhatia SK, Kumar P (2023) Impact of fiscal policy delays on the system dynamics of IS\u2013LM model: a mathematical model approach. Results Control Optim 10:100196","journal-title":"Results Control Optim"},{"issue":"3","key":"2804_CR21","doi-asserted-by":"publisher","first-page":"2330007","DOI":"10.1142\/S0218127423300070","volume":"33","author":"A Rajpal","year":"2023","unstructured":"Rajpal A, Bhatia SK, Kumar V (2023) Effects of incorporating double time delays in an investment savings\u2013liquidity preference money supply (IS\u2013LM) model. Int J Bifurc Chaos 33(3):2330007","journal-title":"Int J Bifurc Chaos"},{"key":"2804_CR22","doi-asserted-by":"publisher","first-page":"112821","DOI":"10.1016\/j.chaos.2022.112821","volume":"165","author":"A Rajpal","year":"2022","unstructured":"Rajpal A, Bhatia SK, Hiremath KR (2022) Inspecting the stability of non-linear IS\u2013LM model with dual time delay. Chaos Solitons Fractals 165:112821","journal-title":"Chaos Solitons Fractals"},{"key":"2804_CR23","first-page":"863","volume":"10","author":"S Ruan","year":"2003","unstructured":"Ruan S, Wei J (2003) On the zeroes of transcendental functions with applications to stability of delay differential equations with two delays. Dyn Contin Discrete Impul Sys Ser A Math Anal 10:863\u2013874","journal-title":"Dyn Contin Discrete Impul Sys Ser A Math Anal"},{"issue":"2","key":"2804_CR24","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1016\/0022-0531(82)90068-0","volume":"28","author":"GJ Schinasi","year":"1982","unstructured":"Schinasi GJ (1982) Fluctuations in a dynamic, intermediate-run IS\u2013LM model: applications of the Poincar\u00e9\u2013Bendixon theorem. J Econ Theory 28(2):369\u2013375","journal-title":"J Econ Theory"},{"issue":"4","key":"2804_CR25","doi-asserted-by":"publisher","first-page":"649","DOI":"10.2307\/2297204","volume":"48","author":"GJ Schinasi","year":"1981","unstructured":"Schinasi GJ (1981) A nonlinear dynamic model of short run fluctuations. Rev Econ Stud 48(4):649\u2013656","journal-title":"Rev Econ Stud"},{"issue":"4","key":"2804_CR26","doi-asserted-by":"publisher","first-page":"461","DOI":"10.2307\/1992184","volume":"16","author":"A Shah","year":"1984","unstructured":"Shah A (1984) Crowding out, capital accumulation, the stock market, and money-financed fiscal policy. J Money Credit Banking 16(4):461\u2013473","journal-title":"J Money Credit Banking"},{"key":"2804_CR27","first-page":"728","volume":"243","author":"M Sportelli","year":"2014","unstructured":"Sportelli M, Cesare LD, Binetti MT (2014) A dynamic IS\u2013LM model with two time delays in the public sector. Appl Math Comput 243:728\u2013739","journal-title":"Appl Math Comput"},{"key":"2804_CR28","first-page":"9","volume":"354","author":"M Sportelli","year":"2009","unstructured":"Sportelli M, Cesare LD (2009) Fiscal policy delays and the classical growth cycle. Appl Math Comput 354:9\u201331","journal-title":"Appl Math Comput"},{"key":"2804_CR29","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1051\/mmnp\/2019038","volume":"15","author":"C Sun","year":"2020","unstructured":"Sun C, Li L, Jia J (2020) Hopf bifurcation of an HIV-1 virus model with two delays and logistic growth. Math Modell Nat Phenom 15:16","journal-title":"Math Modell Nat Phenom"},{"issue":"3","key":"2804_CR30","doi-asserted-by":"publisher","first-page":"417","DOI":"10.2307\/3866679","volume":"25","author":"V Tanzi","year":"1978","unstructured":"Tanzi V (1978) Inflation, real tax revenue, and the case for inflationary finance: theory with an application to Argentina. IMF Staff Papers 25(3):417\u2013451","journal-title":"IMF Staff Papers"},{"issue":"1","key":"2804_CR31","doi-asserted-by":"publisher","first-page":"154","DOI":"10.2307\/3866540","volume":"24","author":"V Tanzi","year":"1977","unstructured":"Tanzi V (1977) Inflation, lags in collection, and the real value of tax revenue. Staff Papers Int Monet Fund 24(1):154\u2013167","journal-title":"Staff Papers Int Monet Fund"},{"issue":"1","key":"2804_CR32","doi-asserted-by":"publisher","first-page":"42","DOI":"10.7763\/IJAPM.2014.V4.252","volume":"4","author":"S Tipsri","year":"2014","unstructured":"Tipsri S, Chinviriyasit W (2014) Stability analysis of SEIR model with saturated incidence and time delay. Int J Appl Phys Math 4(1):42\u201345","journal-title":"Int J Appl Phys Math"},{"issue":"3","key":"2804_CR33","doi-asserted-by":"publisher","first-page":"441","DOI":"10.1016\/j.jebo.2004.10.014","volume":"62","author":"H Yoshida","year":"2007","unstructured":"Yoshida H, Asada T (2007) Dynamic analysis of policy lag in a Keynes\u2013Goodwin model: stability, instability, cycles and chaos. J Econ Behav Org 62(3):441\u2013469","journal-title":"J Econ Behav Org"},{"key":"2804_CR34","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1016\/j.cam.2008.09.004","volume":"228","author":"L Zhou","year":"2009","unstructured":"Zhou L, Li Y (2009) A dynamic IS\u2013LM business cycle model with two time delays in capital accumulation equation. J Comput Appl Math 228:182\u2013187","journal-title":"J Comput Appl Math"},{"key":"2804_CR35","first-page":"774","volume":"196","author":"L Zhou","year":"2008","unstructured":"Zhou L, Li Y (2008) A generalized dynamic IS\u2013LM model with delayed time in investment processes. Appl Math Comput 196:774\u2013781","journal-title":"Appl Math Comput"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-024-02804-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-024-02804-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-024-02804-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,15]],"date-time":"2024-07-15T06:03:41Z","timestamp":1721023421000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-024-02804-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,6,19]]},"references-count":35,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2024,7]]}},"alternative-id":["2804"],"URL":"https:\/\/doi.org\/10.1007\/s40314-024-02804-5","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,6,19]]},"assertion":[{"value":"7 November 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 May 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 May 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 June 2024","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"289"}}