Anashkin, O. V.; Yusupova, O. V. Stability in the critical case and bifurcations in impulsive systems. (English) Zbl 1495.34027 Lobachevskii J. Math. 42, No. 15, 3574-3583 (2021). Reviewer: Snezhana Hristova (Plovdiv) MSC: 34A37 34C23 34C05 34D20 34C25 37C60 34C20 PDFBibTeX XMLCite \textit{O. V. Anashkin} and \textit{O. V. Yusupova}, Lobachevskii J. Math. 42, No. 15, 3574--3583 (2021; Zbl 1495.34027) Full Text: DOI
Belgaid, Youcef; Helal, Mohamed; Lakmeche, Abdelkader; Venturino, Ezio On the stability of periodic solutions of an impulsive system arising in the control of agroecosystems. (English) Zbl 1471.92391 Mondaini, Rubem P. (ed.), Trends in biomathematics: chaos and control in epidemics, ecosystems, and cells. Selected works from the 20th BIOMAT consortium lectures, Rio de Janeiro, Brazil, November 1–6, 2020. Cham: Springer. 183-199 (2021). MSC: 92D45 34C25 34A37 35B10 35B35 PDFBibTeX XMLCite \textit{Y. Belgaid} et al., in: Trends in biomathematics: chaos and control in epidemics, ecosystems, and cells. Selected works from the 20th BIOMAT consortium lectures, Rio de Janeiro, Brazil, November 1--6, 2020. Cham: Springer. 183--199 (2021; Zbl 1471.92391) Full Text: DOI
Li, Changtong; Tang, Sanyi; Cheke, Robert A. Complex dynamics and coexistence of period-doubling and period-halving bifurcations in an integrated pest management model with nonlinear impulsive control. (English) Zbl 1486.92169 Adv. Difference Equ. 2020, Paper No. 514, 22 p. (2020). MSC: 92D25 92D40 37N25 PDFBibTeX XMLCite \textit{C. Li} et al., Adv. Difference Equ. 2020, Paper No. 514, 22 p. (2020; Zbl 1486.92169) Full Text: DOI
Li, Changtong; Tang, Sanyi Analyzing a generalized pest-natural enemy model with nonlinear impulsive control. (English) Zbl 1411.34066 Open Math. 16, 1390-1411 (2018). MSC: 34C60 34A37 92D25 34C05 34C23 PDFBibTeX XMLCite \textit{C. Li} and \textit{S. Tang}, Open Math. 16, 1390--1411 (2018; Zbl 1411.34066) Full Text: DOI
Shuai, Wang; Qingdao, Huang Bifurcation of nontrivial periodic solutions for a food chain Beddington-DeAngelis interference model with impulsive effect. (English) Zbl 1405.34041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 11, Article ID 1850131, 16 p. (2018). MSC: 34C60 92D25 34D05 34C23 34A37 34D20 PDFBibTeX XMLCite \textit{W. Shuai} and \textit{H. Qingdao}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 11, Article ID 1850131, 16 p. (2018; Zbl 1405.34041) Full Text: DOI
Boukhalfa, Fatima; Helal, Mohamed; Lakmeche, Abdelkader Bifurcation of nontrivial periodic solutions for leishmaniasis disease model. (English) Zbl 1474.34297 Facta Univ., Ser. Math. Inf. 32, No. 5, 583-628 (2017). MSC: 34C60 34C23 34C25 92D25 92D30 34C05 34D20 PDFBibTeX XMLCite \textit{F. Boukhalfa} et al., Facta Univ., Ser. Math. Inf. 32, No. 5, 583--628 (2017; Zbl 1474.34297)
Xie, Youxiang; Wang, Linjun; Deng, Qicheng; Wu, Zhengjia The dynamics of an impulsive predator-prey model with communicable disease in the prey species only. (English) Zbl 1410.92142 Appl. Math. Comput. 292, 320-335 (2017). MSC: 92D30 92D25 34A37 PDFBibTeX XMLCite \textit{Y. Xie} et al., Appl. Math. Comput. 292, 320--335 (2017; Zbl 1410.92142) Full Text: DOI
Ren, Hai-Peng; Yang, Yan; Baptista, Murilo S.; Grebogi, Celso Tumour chemotherapy strategy based on impulse control theory. (English) Zbl 1404.92103 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 375, No. 2088, Article ID 20160221, 15 p. (2017). MSC: 92C50 93C95 92-08 PDFBibTeX XMLCite \textit{H.-P. Ren} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 375, No. 2088, Article ID 20160221, 15 p. (2017; Zbl 1404.92103) Full Text: DOI
Pang, Liuyong; Zhao, Zhong; Liu, Sanhong; Zhang, Xinan Dynamic analysis of an antitumor model and investigation of the therapeutic effects for different treatment regimens. (English) Zbl 1359.92053 Comput. Appl. Math. 36, No. 1, 537-560 (2017). MSC: 92C50 PDFBibTeX XMLCite \textit{L. Pang} et al., Comput. Appl. Math. 36, No. 1, 537--560 (2017; Zbl 1359.92053) Full Text: DOI
Solis, Francisco J.; Delgadillo, Sandra E. Evolution of a mathematical model of an aggressive-invasive cancer under chemotherapy. (English) Zbl 1443.92104 Comput. Math. Appl. 69, No. 7, 545-558 (2015). MSC: 92C50 PDFBibTeX XMLCite \textit{F. J. Solis} and \textit{S. E. Delgadillo}, Comput. Math. Appl. 69, No. 7, 545--558 (2015; Zbl 1443.92104) Full Text: DOI
Wang, Shuai; Huang, Qingdao Bifurcation of nontrivial periodic solutions for a Beddington-DeAngelis interference model with impulsive biological control. (English) Zbl 1443.92169 Appl. Math. Modelling 39, No. 5-6, 1470-1479 (2015). MSC: 92D25 92D45 34H05 PDFBibTeX XMLCite \textit{S. Wang} and \textit{Q. Huang}, Appl. Math. Modelling 39, No. 5--6, 1470--1479 (2015; Zbl 1443.92169) Full Text: DOI
Terry, Alan J. A population model with birth pulses, age structure, and non-overlapping generations. (English) Zbl 1410.37080 Appl. Math. Comput. 271, 400-417 (2015). MSC: 37N25 92D25 92D40 PDFBibTeX XMLCite \textit{A. J. Terry}, Appl. Math. Comput. 271, 400--417 (2015; Zbl 1410.37080) Full Text: DOI
Qiao, Meihong; Liu, Anping; Fory’s, Urszula The dynamics of a time delayed epidemic model on a population with birth pulse. (English) Zbl 1338.92136 Appl. Math. Comput. 252, 166-174 (2015). MSC: 92D30 92D25 PDFBibTeX XMLCite \textit{M. Qiao} et al., Appl. Math. Comput. 252, 166--174 (2015; Zbl 1338.92136) Full Text: DOI
Li, Yongfeng; Xie, Dongliang; Cui, Jingan Complex dynamics of a predator-prey model with impulsive state feedback control. (English) Zbl 1410.37076 Appl. Math. Comput. 230, 395-405 (2014). MSC: 37N25 92D25 34A37 34C25 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Comput. 230, 395--405 (2014; Zbl 1410.37076) Full Text: DOI
Tan, Ronghua; Liu, Zhijun; Cheke, Robert A. Periodicity and stability in a single-species model governed by impulsive differential equation. (English) Zbl 1243.34018 Appl. Math. Modelling 36, No. 3, 1085-1094 (2012). MSC: 34A37 34D23 92D25 34C25 PDFBibTeX XMLCite \textit{R. Tan} et al., Appl. Math. Modelling 36, No. 3, 1085--1094 (2012; Zbl 1243.34018) Full Text: DOI
Stamova, Ivanka M. Existence and global asymptotic stability of positive periodic solutions of \(n\)-species delay impulsive Lotka-Volterra type systems. (English) Zbl 1251.34086 J. Biol. Dyn. 5, No. 6, 619-635 (2011). Reviewer: Leonid Berezanski (Beer-Sheva) MSC: 34K13 34K45 34K20 92D25 PDFBibTeX XMLCite \textit{I. M. Stamova}, J. Biol. Dyn. 5, No. 6, 619--635 (2011; Zbl 1251.34086) Full Text: DOI
Mailleret, Ludovic; Lemesle, Valérie A note on semi-discrete modelling in the life sciences. (English) Zbl 1192.37119 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 367, No. 1908, 4779-4799 (2009). MSC: 37N25 92B05 92D20 PDFBibTeX XMLCite \textit{L. Mailleret} and \textit{V. Lemesle}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 367, No. 1908, 4779--4799 (2009; Zbl 1192.37119) Full Text: DOI
Solis, Francisco J.; Delgadillo, Sandra E. Discrete mathematical models of an aggressive heterogeneous tumor growth with chemotherapy treatment. (English) Zbl 1185.92067 Math. Comput. Modelling 50, No. 5-6, 646-652 (2009). MSC: 92C50 PDFBibTeX XMLCite \textit{F. J. Solis} and \textit{S. E. Delgadillo}, Math. Comput. Modelling 50, No. 5--6, 646--652 (2009; Zbl 1185.92067) Full Text: DOI
Georgescu, Paul; Zhang, Hong The onset of positive periodic solutions for a biochemical pest management model. (English) Zbl 1179.37071 J. Appl. Math. Comput. 30, No. 1-2, 271-292 (2009). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37G15 34A37 92D25 92D40 PDFBibTeX XMLCite \textit{P. Georgescu} and \textit{H. Zhang}, J. Appl. Math. Comput. 30, No. 1--2, 271--292 (2009; Zbl 1179.37071) Full Text: DOI
Bunimovich-Mendrazitsky, Svetlana; Byrne, Helen; Stone, Lewi Mathematical model of pulsed immunotherapy for superficial bladder cancer. (English) Zbl 1147.92013 Bull. Math. Biol. 70, No. 7, 2055-2076 (2008). MSC: 92C50 34A37 PDFBibTeX XMLCite \textit{S. Bunimovich-Mendrazitsky} et al., Bull. Math. Biol. 70, No. 7, 2055--2076 (2008; Zbl 1147.92013) Full Text: DOI
Georgescu, Paul; Zhang, Hong; Chen, Lansun Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model. (English) Zbl 1151.34037 Appl. Math. Comput. 202, No. 2, 675-687 (2008). MSC: 34C60 34A37 92D25 34C23 37G15 34H05 34C25 PDFBibTeX XMLCite \textit{P. Georgescu} et al., Appl. Math. Comput. 202, No. 2, 675--687 (2008; Zbl 1151.34037) Full Text: DOI
Song, Xinyu; Li, Yongfeng Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect. (English) Zbl 1142.34031 Nonlinear Anal., Real World Appl. 9, No. 1, 64-79 (2008). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 92D25 34A37 34C23 34C25 PDFBibTeX XMLCite \textit{X. Song} and \textit{Y. Li}, Nonlinear Anal., Real World Appl. 9, No. 1, 64--79 (2008; Zbl 1142.34031) Full Text: DOI
Dercole, Fabio; Gragnani, Alessandra; Rinaldi, Sergio Bifurcation analysis of piecewise smooth ecological models. (English) Zbl 1123.92035 Theor. Popul. Biol. 72, No. 2, 197-213 (2007). MSC: 92D40 34C23 34C60 PDFBibTeX XMLCite \textit{F. Dercole} et al., Theor. Popul. Biol. 72, No. 2, 197--213 (2007; Zbl 1123.92035) Full Text: DOI Link
Dong, Lingzhen; Chen, Lansun; Sun, Lihua; Jia, Jianwen Ultimate behavior of predator-prey systems with constant harvesting of the prey impulsively. (English) Zbl 1103.92042 J. Appl. Math. Comput. 22, No. 1-2, 149-158 (2006). MSC: 92D40 34A37 PDFBibTeX XMLCite \textit{L. Dong} et al., J. Appl. Math. Comput. 22, No. 1--2, 149--158 (2006; Zbl 1103.92042) Full Text: DOI
Maggi, Stefano; Rinaldi, Sergio A second-order impact model for forest fire regimes. (English) Zbl 1101.92055 Theor. Popul. Biol. 70, No. 2, 174-182 (2006). MSC: 92D40 PDFBibTeX XMLCite \textit{S. Maggi} and \textit{S. Rinaldi}, Theor. Popul. Biol. 70, No. 2, 174--182 (2006; Zbl 1101.92055) Full Text: DOI Link
Liu, Bing; Teng, Zhidong; Chen, Lansun Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy. (English) Zbl 1089.92060 J. Comput. Appl. Math. 193, No. 1, 347-362 (2006). MSC: 92D40 34C60 34D05 35C05 34C25 PDFBibTeX XMLCite \textit{B. Liu} et al., J. Comput. Appl. Math. 193, No. 1, 347--362 (2006; Zbl 1089.92060) Full Text: DOI
Liu, Bing; Zhang, Yujuan; Chen, Lansun Dynamic complexitities in a Lotka-Volterra predator-prey model concerning impulsive control strategy. (English) Zbl 1080.34026 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 2, 517-531 (2005). Reviewer: Peter Leach (Durban) MSC: 34C28 34A37 92D25 34H05 34C60 PDFBibTeX XMLCite \textit{B. Liu} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 2, 517--531 (2005; Zbl 1080.34026) Full Text: DOI
Liu, Bing; Zhang, Yujuan; Chen, Lansun The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management. (English) Zbl 1082.34039 Nonlinear Anal., Real World Appl. 6, No. 2, 227-243 (2005). Reviewer: E. Ahmed (Mansoura) MSC: 34C60 34A37 92D25 34C25 34D05 34D23 PDFBibTeX XMLCite \textit{B. Liu} et al., Nonlinear Anal., Real World Appl. 6, No. 2, 227--243 (2005; Zbl 1082.34039) Full Text: DOI
d’Ónofrio, Alberto; Gandolfi, Alberto Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999). (English) Zbl 1050.92039 Math. Biosci. 191, No. 2, 159-184 (2004). MSC: 92C50 37N25 34C60 34D23 34D05 PDFBibTeX XMLCite \textit{A. d'Ónofrio} and \textit{A. Gandolfi}, Math. Biosci. 191, No. 2, 159--184 (2004; Zbl 1050.92039) Full Text: DOI