The dynamics of a Beddington-type system with impulsive control strategy

Chaos, Solitons and Fractals

Volumn 29, Issue 5, 2006, Pages 1229-1239

  Li, Zhenqing ^a   Wang, Weiming ^b   Wang, Hailing ^c  

^a INSTITUTE OF BOTANY   (China)

^b EAST CHINA NORMAL UNIVERSITY   (China)

^c UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ECOLOGY; FUNCTIONS; LYAPUNOV METHODS; OSCILLATIONS; PERTURBATION TECHNIQUES;

AMPLITUDE PERTURBATION SKILLS; IMPULSIVE EQUATIONS;

CONTROL SYSTEMS;

EID: 33645868969     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.195     Document Type: Article

References (20)

1. Lakshmikantham V., Bainov D.D., and Simeonov P.C. Theory of impulsive differential equations (1989), World Scientific, Singapore
2. Tang S., Xiao Y., and Clancy D. New modelling approach concerning integrated disease control and cost-effectivity. Nonlinear Anal 63 (2005) 439-471
3. Lu Z., Chi X., and Chen L. Impulsive control strategies in biological control of pesticide. J Theor Popul Biol 64 (2003) 39-47
4. Liu B., Zhang Y., and Chen L. Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control. Chaos, Solitons & Fractals 22 (2004) 123-134
5. Sun J., Qiao F., and Wu Q. Impulsive control of a financial model. J Phys Lett A 335 (2005) 282-288
6. Zhang Y., Xiu Z., and Chen L. Dynamics complexity of a two-prey one-predator system with impulsive effect. Chaos, Solitons & Fractals 26 (2005) 131-139
7. Ballinger G., and Liu X. Permanence of population growth models with impulsive effects. Math Comput Model 26 (1997) 59-72
8. Lenci S., and Rega G. Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation. Chaos, Solitons & Fractals 11 (2000) 2453-2472
9. Beddington J.R. Mutual interference between parasites or predators and its effect on searching efficiency. J Animal Ecol 44 (1975) 331-340
10. Cantrell R.S., and Cosner C. On the dynamics of predator-prey models with the Beddington-DeAngelis functional response. J Math Anal Appl 257 (2001) 206-222
11. Hwang T.W. Global analysis of the predator-prey system with Beddington-DeAngelis functional response. J Math Anal Appl 281 (2003) 395-401
12. Hwang T.W. Uniqueness of limit cycles of the predator-prey system with Beddington-DeAngelis functional response. J Math Anal Appl 290 (2004) 113-122
13. Liu Z., and Yuan R. Stability and bifurcation in a delayed predator-prey system with Beddington-DeAngelis functional response. J Math Anal Appl 296 (2004) 521-537
14. Qui Z., Yu J., and Zou Y. The asymptotic behavior of a chemostat model with the Beddington-DeAngelis functional response. Math Bios 187 (2004) 175-187
15. Dimitrov D.T., and Kojouharov V.H. Complete mathematical analysis of predator-prey models with linear prey growth and Beddington-DeAngelis functional response. J Appl Math Comp 162 (2005) 523-538
16. Huisman G., and Deboer R.J. A formal derivation of the Beddington functional response. J Thero Biol 185 (1997) 389-400
17. Bainov D.D., and Simeonov P.S. Impulsive differential equations: asymptotic properties of the solutions (1993), World Scientific, Singapore
18. Wang W. Computer algebra system and symbolic computation (2004), Gansu Sci-Tech Press, Lanzhou, China [in Chinese]
19. Wang W., and Lian X. A new algorithm for symbolic integral with application. Appl Math Comput 162 (2005) 949-968
20. Wang W., and Lin C. A new algorithm for integral of trigonometric functions with mechanization. Appl Math Comput 164 (2005) 71-82