پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 691 |
| تعداد مقالات | 10,035 |
| تعداد مشاهده مقاله | 71,039,535 |
| تعداد دریافت فایل اصل مقاله | 62,489,053 |
Modelling the influence of prey switching and optimal foraging on the control of banana weevil Cosmopolites Sordidus (Germar) | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 77، دوره 13، شماره 1، خرداد 2022، صفحه 937-954 اصل مقاله (474.98 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.20119.2127 | ||
| نویسندگان | ||
| Eliab Horub Kweyunga* 1؛ Julius Tumwiine1؛ Eldad Karamura2 | ||
| 1Department of Mathematics, Mbarara University of Science and Technology, P.O.Box 1410, Mbarara, Uganda. | ||
| 2Bioversity International-Uganda, P.O.Box 24384, Naguru, Kampala, Uganda. | ||
| تاریخ دریافت: 12 فروردین 1399، تاریخ پذیرش: 17 شهریور 1400 | ||
| چکیده | ||
| A mathematical model for the control of the banana weevil Cosmopolites Sordidus (Germar) by predatory ant species is formulated and analyzed. The model incorporates predator switching to a non-dynamic alternative food source, optimal foraging theory and self regulation in both the banana weevil and predatory-ant species! Using Lyapunov's first method, the local stability of the equilibria is established. Furthermore, conditions for the existence of the interior equilibrium are derived and its global stability established by the Bendixson--Dulac criterion with periodic orbits ruled out by the Poincare--Bendixson theorem. It is determined that intrinsic growth rates and carrying capacities rather than handling time and nutritional value have significant impact on the banana weevils-- predatory ant interaction. Numerical simulations confirm the theoretical results. | ||
| کلیدواژهها | ||
| Alternative food؛ banana weevil؛ biological control؛ global stability؛ prey switching؛ optimal foraging | ||
| مراجع | ||
|
[1] AMK. Abera, CS. Gold and R. van Driesche, Experimental Evaluation of the impacts of two ant species on banana weevil in Uganda, Biol. Contr. 46(2008) 147–157. [2] AMK. Abera, CS. Gold, R. van Driesche and PE. Ragama, Composition, distribution and relative abundance of ants in banana farming systems in Uganda, Biol. Contr. 40(2007) 168–178. [3] MA. Aziz–Alaoui and MD. Okiye, Boundedness and global stability for a predator–prey model with modified Leslie–Gower and Holling-Type II schemes, Appl. Math. Lett. 16(2003) 1069–1075. [4] MA. Aziz–Alaoui, Study of Leslie–Gower–type tritrophic population, Chaos Solitons and Fract. 14(8)(2002) 1275–1293. [5] S. Banshidhar, Global stability of predator–prey systems with alternative prey, ISRN Biotechnol.(2013), https: //doi.org/10.5402/2013/898039. [6] DS. Boukal and V. Krivan, Lyapunov functions for Lotka–Volterra models with optimal foraging behavior, J. Math. Biol. 39(1999) 493–517. [7] S. Busenburg, and O. van den Driessche, A method for proving the non- existence of limit cycles, J. Math. Analy. Appl. 172(1993) 463–479. [8] AG. Dassou, D. Carval, S. Depigny, G. Fansi, and P. Tixier, Ant abundance and Cosmopolites sordidus damage in plantain fields as affected by intercropping, Biol. Contr. 81(2015) 51–57. [9] JM. Fryxell and P. Lundberg, Diet choice and predator–prey dynamics, Evol. Ecol. 8(1994) 407–421. [10] JM. Fryxell and P. Lundberg, Individual behavior and community dynamics, Chapman and Hall, London, UK,1997. [11] C. Ganguli, TK. Kar and U. Das,Consequences of providing alternative food to predator in an exploited preypredator system controlled by optimal taxation, Intern. J. Nonlin. Sci. 25(3)(2018) 131–150. [12] CS. Gold, EB. Karamura, A. Kiggundu, F. Bagamba and AMK. Abera, Geographical shifts in the highland bananas (Musa spp, group AAA-EA) production in Uganda, Intern. J. Sust. Devel. Wor. Ecol. 6(1999) 45–59. [13] DJ. Greathead, Opportunities for biological control of insect pests in tropical Africa, Revue. Zool. Afr. 100(1986) 85–96. [14] V. Krivan, Optimal foraging and predator–prey dynamics, Theor. Popul. Biol. 49(1996) 265–290. [15] V. Krivan and A. Sikder, Optimal foraging and predator–prey dynamics II, Theor. Popul. Biol. 55(1999) 111–126. [16] V. Krivan and J. Eisner, Optimal foraging and predator–prey dynamics III, Theor. Popul. Biol. 63(2003) 269–279. [17] B.O. Ma, P.A. Abrams and C.E. Brassil, Dynamics versus instantaneous models of diet choice, Amer. Natur. 162(2003) 668–684. [18] M.W. Murdoch and A. Oaten, Predation and population stability, Adv. Ecol. Res., 9(1975) 11-31. [19] E.C. Oerke, H.W. Dehne, Safeguarding production losses in major crops and the role of crop protection, Crop Prot., 23(2004) 275-285. [20] R. Roche and S. Abreu, Control of the banana weevil, Cosmopolites sordidus by the ant Tetramorium guineense, Cienc. de la Agric. (Cuba) 17(1983) 41–49. [21] P.M. Room, The relative abundances of ant species in Ghana’s cocoa farms, J. Anim. Ecol. 40(1971) 735–751. [22] D.W. Stephens and J.R. Krebs, Foraging theory: monographs in behavior and ecology ed., Princeton University Press, Princeton, N.J, 1986. [23] M. Tansky, Switching effect on predator-prey systems, J. Theor. Biol. 70(1978) 263–271. [24] M. van Baalen, V. Krivan, P.C.J. van Rijn and M.W. Sabelis, Alternative food, switching predators and the persistence of predator-prey systems, Amer. Natur.157(5)(2001) 512–524. [25] E. van Leeuwen, A. Brannstrom, VAA. Jansen, U. Dieckmann and AG. Rossberg, A generalized functional response for predators that switch between multiple prey species, J. Theor. Biol. 328(2013) 89–98. [26] DF. Waterhouse and KR. Norris, Biological control: Pacific prospects, Inkata Press, Melbourne, Australia,1987. [27] E. Were, G.V. Nakato, W. Ocimati, I. Ramathan, S. Olal and F. Beed, The banana weevil, Cosmopolites sordidus, (Germar), is a potential vector of Xanthomonas Campestris. pv. musacearum in bananas, Canadian. J. Plant Pathol. 17(4)(2015). | ||
|
آمار تعداد مشاهده مقاله: 16,508 تعداد دریافت فایل اصل مقاله: 9,698 |
||