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Qualitative study of an eco-epidemiological model with anti-predator and migration presence | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 74، دوره 13، شماره 1، خرداد 2022، صفحه 889-899 اصل مقاله (453.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5609 | ||
| نویسنده | ||
| Azhar Abbas Majeed* | ||
| Department of Mathematic, College of Science University of Baghdad, Baghdad, Iraq | ||
| تاریخ دریافت: 15 اسفند 1399، تاریخ بازنگری: 27 فروردین 1400، تاریخ پذیرش: 11 اردیبهشت 1400 | ||
| چکیده | ||
| In this work, an environmental and epidemiological model has been formulated and analyzed, where it was assumed that there is a disease in the predator society of an incurable type and does not give the predator immunity that leads to the death of the affected predator in the end. On the other hand, it has been assumed that a healthy predator is only capable of predation according to a functional response ~Holling type -- IV, Also, two types of factors are considered behavior against predation and the group's defence to formulate our proposed model. In addition, immigration was taken into consideration for prey society, mathematically and biologically acceptable equilibrium points for this model were found, as well, these points were studied analytically and numerically to know the effect especially, the emigration and behavior against predation to keep both the two types. | ||
| کلیدواژهها | ||
| Eco-epidemiological model؛ SI-disease؛ Migration؛ Anti-predator | ||
| مراجع | ||
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[1] I. Al-Darabsah, X. Tang and Y. Yuan, A prey- predator model with migrations and delays, Discrete Contin, Dayn. Syest. Series B 21 (2016) 737–761. [2] K.P. Das, A mathematical study of a predator-prey dynamics with disease in predator, Int. Schol. Res. Network ISRN Appl. Math. 2011 (2013) 16 pages. [3] A.A. Majeed, The dynamics and analysis of stage-structured predator-prey model with prey refuge and harvesting involving disease in prey population, Commun. Math. Appl. 10 (2019) 337–359. [4] A.A. Majeed and I.I. Shawka, The stability analysis of eco–epidemiological system with disease, Gen. Math. Notes (2016) 52–72. [5] A.A. Majeed and O.S. Ali, The dynamics of prey-predator model with harvesting involving disease in both populations, Int. J. Current Adv.Res. 6 (2017) 2222–2241. [6] X.Y. Meng, N.N. Qin and H.F. Huo, Dynamics analysis of a predator–prey system with harvesting prey and disease in prey species, J. Bio. Dyn. 12 ( 2018) 342–374. [7] S. K. Roy and B. Roy, Analysis of prey-predator three species fishery model with harvesting including prey refuge and migration, Int. J. Bifur. Chaos 26 (2016) 19 pages. [8] B. Sahoo and S. Poria, Effects of additional food in a susceptible-exposed-infected prey– predator model, Model. Earth Syst. Environ. 2 (2016) 1–17. [9] D. Savitri, Dynamics analysis of anti-predator model on intermediate predator with ratio-dependent functional responses, IOP Conf. Ser. J. Phys. Conf. Ser. 953 (2017) 012201. [10] H.G. Sufaeh and A.A. Majeed, A qualitative study of an eco-epidemiological model with (SI) epidemic disease in prey and (SIS) epidemic disease in predator involving a harvesting, Sci. Int. Lahore 4 (2018) 549–565. [11] G. Tang and W. Qin, Backward bifurcation of predator-prey model with anti-predator behaviors, Adv. Diff. Equ. 2019 (2019). [12] L. Yang and S. Zhang, Global stability of a stage-structured predator-prey model with stochastic perturbation, Discrete Dyn. Nature Soc. (2014) 8 pages. | ||
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