Xu, Changjin; Cui, Xiaohan; Li, Peiluan; Yan, Jinling; Yao, Lingyun Exploration on dynamics in a discrete predator-prey competitive model involving feedback controls. (English) Zbl 1522.92056 J. Biol. Dyn. 17, No. 1, Article ID 2220349, 20 p. (2023). Reviewer: Yuming Chen (Waterloo) MSC: 92D25 39A30 39A23 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Negi, Shekhar Singh; Abbas, Syed; Malik, Muslim Periodic solutions of the \(N\)-preys and \(M\)-predators model with variable rates on time scales. (English) Zbl 1459.34188 Indian J. Pure Appl. Math. 51, No. 3, 945-967 (2020). MSC: 34K60 34N05 92D25 47N20 34K13 × Cite Format Result Cite Review PDF Full Text: DOI
Negi, Shekhar Singh; Abbas, Syed; Malik, Muslim A generalized delta derivative on time scale with applications. (English) Zbl 1465.34102 Math. Methods Appl. Sci. 43, No. 15, 9046-9079 (2020). Reviewer: Roman Šimon Hilscher (Brno) MSC: 34N05 39A10 26A99 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Lin; Lian, Yi; Li, Chaoling Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls. (English) Zbl 1362.93075 Open Math. 15, 218-232 (2017). MSC: 93C40 34K20 34C25 92D25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Du, Bo; Zhu, Shouli Existence and asymptotic behavior results of positive periodic solutions for discrete-time logistic model. (English) Zbl 1422.39009 Adv. Difference Equ. 2015, Paper No. 181, 10 p. (2015). MSC: 39A10 39A12 92D25 39A30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Xu, Changjin; Wu, Yusen; Lu, Lin Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays. (English) Zbl 1417.92161 Adv. Difference Equ. 2014, Paper No. 208, 15 p. (2014). MSC: 92D25 34K20 34C25 37N25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Li, Li; Zhang, Guang; Sun, Gui-Quan; Wang, Zhi-Jun Existence of periodic positive solutions for a competitive system with two parameters. (English) Zbl 1319.92044 J. Difference Equ. Appl. 20, No. 3, 341-353 (2014). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xin-Ge; Tang, Mei-Lan Existence of positive periodic solutions of higher-order functional difference equations. (English) Zbl 1313.39019 Appl. Math., Praha 59, No. 1, 25-36 (2014). Reviewer: Pavel Rehak (Brno) MSC: 39A23 34K13 39A12 39A10 39A22 × Cite Format Result Cite Review PDF Full Text: DOI Link
Xu, Changjin; Wu, Yusen Dynamics in a Lotka-Volterra predator-prey model with time-varying delays. (English) Zbl 1470.34208 Abstr. Appl. Anal. 2013, Article ID 956703, 9 p. (2013). MSC: 34K25 34K20 92D25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Xu, Changjin; Wu, Yusen Permanence in a discrete mutualism model with infinite deviating arguments and feedback controls. (English) Zbl 1417.92160 Discrete Dyn. Nat. Soc. 2013, Article ID 397382, 7 p. (2013). MSC: 92D25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Xu, Changjin; Li, Peiluan On the periodicity and global stability for a discrete delayed predator-prey model. (English) Zbl 1276.39008 Int. J. Math. 24, No. 10, Article ID 1350086, 16 p. (2013). MSC: 39A23 39A30 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yuji; Liu, Xingyuan The existence of periodic solutions of higher order nonlinear periodic difference equations. (English) Zbl 1276.39007 Math. Methods Appl. Sci. 36, No. 11, 1459-1470 (2013). Reviewer: Lothar Berg (Rostock) MSC: 39A23 39A13 39A10 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Mei-Lan; Liu, Xin-Ge Positive periodic solution of higher-order functional difference equation. (English) Zbl 1273.34077 Adv. Difference Equ. 2011, Paper No. 56, 8 p. (2011). MSC: 34K13 39A70 47H10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kang, Shugui; Cui, Yaqiong; Guo, Jianmin Existence of periodic positive solutions for abstract difference equations. (English) Zbl 1252.39015 Discrete Dyn. Nat. Soc. 2011, Article ID 870164, 7 p. (2011). MSC: 39A23 39A22 39A10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Liu, Xinggui; Li, Yongkun; Ren, Yaping Multiple positive periodic solutions of a discrete time delayed predator-prey system with harvesting terms. (English) Zbl 1211.92060 Differ. Equ. Dyn. Syst. 18, No. 3, 239-247 (2010). MSC: 92D40 39A23 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Weibing; Chen, Xinhong Positive periodic solutions for higher order functional difference equations. (English) Zbl 1205.39016 Appl. Math. Lett. 23, No. 12, 1468-1472 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A23 39A12 34K13 39A22 92B05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yuji Existence of periodic solutions of higher order nonlinear functional difference equations. (English) Zbl 1198.39024 J. Difference Equ. Appl. 16, No. 7, 863-877 (2010). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 39A23 39A12 34K13 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Biwen; Xiong, Xinsheng Existence and global attractivity of periodic solution for a discrete prey-predator model with sex structure. (English) Zbl 1205.39004 Nonlinear Anal., Real World Appl. 11, No. 3, 1986-2000 (2010). Reviewer: Vu Hoang Linh (Hanoi) MSC: 39A12 37N25 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xiaozhong; Peng, Mingshu; Hu, Jiping; Jiang, Xiaoxia Bubbling phenomenon in a discrete economic model for the interaction of demand and supply. (English) Zbl 1198.37147 Chaos Solitons Fractals 42, No. 3, 1428-1438 (2009). MSC: 37N40 91B55 91B74 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Zhixiang; Li, Zhong Permanence and global attractivity of a discrete two-prey one-predator model with infinite delay. (English) Zbl 1177.37088 Discrete Dyn. Nat. Soc. 2009, Article ID 732510, 16 p. (2009). MSC: 37N25 34K60 92D25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML OA License
Liu, Yuji Existence results on positive periodic solutions of forced functional difference equations and applications. (English) Zbl 1168.39302 Appl. Math. Modelling 33, No. 2, 937-947 (2009). MSC: 39A11 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xingyuan; Liu, Yuji On positive periodic solutions of functional difference equations with forcing term and applications. (English) Zbl 1165.39306 Comput. Math. Appl. 56, No. 9, 2247-2255 (2008). MSC: 39A11 39A10 54H25 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Daowei; Zhang, Zhengqiu Four positive periodic solutions of a discrete time delayed predator-prey system with nonmonotonic functional response and harvesting. (English) Zbl 1165.34400 Comput. Math. Appl. 56, No. 12, 3015-3022 (2008). MSC: 34K13 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yaoping; Chen, Fengde; Li, Zhong Dynamic behaviors of a general discrete nonautonomous system of plankton allelopathy with delays. (English) Zbl 1160.37432 Discrete Dyn. Nat. Soc. 2008, Article ID 310425, 22 p. (2008). MSC: 37N25 92C80 × Cite Format Result Cite Review PDF Full Text: DOI EuDML OA License
Xiong, Xinsheng; Zhang, Zhengqiu Periodic solutions of a discrete two-species competitive model with stage structure. (English) Zbl 1145.34334 Math. Comput. Modelling 48, No. 3-4, 333-343 (2008). MSC: 34C25 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Saker, S. H. Qualitative analysis of discrete nonlinear delay survival red blood cells model. (English) Zbl 1136.92009 Nonlinear Anal., Real World Appl. 9, No. 2, 471-489 (2008). MSC: 92C30 39A11 34K60 46N60 × Cite Format Result Cite Review PDF Full Text: DOI
Douraki, Majid Jaberi; Mashreghi, Javad On the population model of the non-autonomous logistic equation of second order with period-two parameters. (English) Zbl 1135.92026 J. Difference Equ. Appl. 14, No. 3, 231-257 (2008). MSC: 92D25 92D40 39A11 39A10 47B39 × Cite Format Result Cite Review PDF Full Text: DOI
Saker, S. H. Periodic solutions, oscillation and attractivity of discrete nonlinear delay population model. (English) Zbl 1130.92044 Math. Comput. Modelling 47, No. 3-4, 278-297 (2008). MSC: 92D25 39A11 34C60 34C25 93C95 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Yonghui; Cao, Jinde; Lin, Muren Discrete-time analogues of predator-prey models with monotonic or nonmonotonic functional responses. (English) Zbl 1127.39038 Nonlinear Anal., Real World Appl. 8, No. 4, 1079-1095 (2007). Reviewer: Raghib Abu-Saris (Sharjah) MSC: 39A12 39A11 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Guang; Feng, Wenying On the number of positive solutions of a nonlinear algebraic system. (English) Zbl 1121.39013 Linear Algebra Appl. 422, No. 2-3, 404-421 (2007). Reviewer: Costică Moroşanu (Iaşi) MSC: 39A11 39A10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Na; Dai, Binxiang; Qian, Xiangzheng Periodic solutions of a discrete time stage-structure model. (English) Zbl 1113.39015 Nonlinear Anal., Real World Appl. 8, No. 1, 27-39 (2007). Reviewer: Jean Mawhin (Louvain-La-Neuve) MSC: 39A11 39A12 92D25 39A20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yuji Periodic solutions of nonlinear functional difference equations at nonresonance case. (English) Zbl 1113.39006 J. Math. Anal. Appl. 327, No. 2, 801-815 (2007). Reviewer: Stefan Hilger (Eichstätt) MSC: 39A11 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Gengping; Shen, Jianhua Existence of periodic solutions of system of difference equations. (English) Zbl 1109.39016 Appl. Math., Ser. B (Engl. Ed.) 21, No. 3, 320-326 (2006). Reviewer: Nguyen Van Minh (Carrollton) MSC: 39A11 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Y. G.; Saker, S. H. Positive periodic solutions of discrete three-level food-chain model of Holling type II. (English) Zbl 1099.92079 Appl. Math. Comput. 180, No. 1, 353-365 (2006). MSC: 92D40 39A12 39A11 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhijun; Chen, Lansun Positive periodic solution of a general discrete non-autonomous difference system of plankton allelopathy with delays. (English) Zbl 1098.92066 J. Comput. Appl. Math. 197, No. 2, 446-456 (2006). MSC: 92D40 34K13 34K60 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Yongli; Han, Maoan Periodic solutions of a discrete time predator-prey system. (English) Zbl 1148.39302 Acta Math. Appl. Sin., Engl. Ser. 22, No. 3, 397-404 (2006). MSC: 39A11 39A12 39A20 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Gil’, M. I. Periodic solutions of nonlinear vector difference equations. (English) Zbl 1133.39008 Adv. Difference Equ. 2006, Article ID 39419, 8 p. (2006). MSC: 39A11 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Zhang, Jianbao; Fang, Hui Multiple periodic solutions for a discrete time model of plankton allelopathy. (English) Zbl 1134.39008 Adv. Difference Equ. 2006, Article ID 90479, 14 p. (2006). MSC: 39A11 39A12 92D25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Song, Yongli; Peng, Yahong Periodic solutions of a nonautonomous periodic model of population with continuous and discrete time. (English) Zbl 1100.34039 J. Comput. Appl. Math. 188, No. 2, 256-264 (2006). Reviewer: Alexandra Rodkina (Kingston/Jamaica) MSC: 34C60 34C25 34K13 47H10 92D25 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Rui; Chen, Lansun; Hao, Feilong Periodic solutions of a discrete time Lotka–Volterra type food-chain model with delays. (English) Zbl 1081.92043 Appl. Math. Comput. 171, No. 1, 91-103 (2005). MSC: 92D40 39A10 39A11 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Y. G.; Saker, S. H. Oscillatory and asymptotic behavior of positive periodic solutions of nonlinear discrete model exhibiting the Allee effect. (English) Zbl 1082.39010 Appl. Math. Comput. 168, No. 2, 1205-1218 (2005). Reviewer: Marat Akhmet (Ankara) MSC: 39A11 39A12 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Y. G.; Saker, S. H. Existence of positive periodic solutions of nonlinear discrete model exhibiting the Allee effect. (English) Zbl 1087.39015 Appl. Math. Comput. 168, No. 2, 1086-1097 (2005). Reviewer: Yuming Chen (Waterloo) MSC: 39A11 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Daqing; O’Regan, Donal; Agarwal, R. P. Optimal existence theory for single and multiple positive periodic solutions to functional difference equations. (English) Zbl 1068.39009 Appl. Math. Comput. 161, No. 2, 441-462 (2005). Reviewer: D. M. Bors (Iaşi) MSC: 39A11 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Wantong Global stability and oscillation in nonlinear difference equations of population dynamics. (English) Zbl 1064.39008 Appl. Math. Comput. 157, No. 1, 115-125 (2004). Reviewer: Lothar Berg (Rostock) MSC: 39A11 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Wantong; Cheng, Sui Sun Asymptotic properties of the positive equilibrium of a discrete survival model. (English) Zbl 1064.39009 Appl. Math. Comput. 157, No. 1, 29-38 (2004). Reviewer: Lothar Berg (Rostock) MSC: 39A11 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Daqing; Agarwal, R. P. Existence of positive periodic solutions for a class of difference equations with several deviating arguments. (English) Zbl 1052.39008 Comput. Math. Appl. 45, No. 6-9, 1303-1309 (2003). Reviewer: Vladimir Răsvan (Compiègne) MSC: 39A11 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ruyuan; Wei, Junjie; Wu, Jianhong On subharmonic solutions of systems of difference equations with periodic perturbations. II: Multiplicity and stability. (English) Zbl 1011.39015 J. Math. Anal. Appl. 276, No. 2, 477-496 (2002). Reviewer: Lothar Berg (Rostock) MSC: 39A11 39A05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ruyuan; Wei, Junjie; Wu, Jianhong Subharmonic solutions of systems of difference equations with periodic perturbations. I: Existence. (English) Zbl 1011.39014 J. Math. Anal. Appl. 275, No. 2, 495-511 (2002). Reviewer: Lothar Berg (Rostock) MSC: 39A11 × Cite Format Result Cite Review PDF Full Text: DOI