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The bifurcation analysis of an epidemiological model involving two diseases in predator | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 182، دوره 13، شماره 1، خرداد 2022، صفحه 2195-2217 اصل مقاله (629.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5915 | ||
| نویسندگان | ||
| Atheer Jawad Kadhim* 1؛ Azhar A. Majeed2 | ||
| 1Department of Applied Science, University of Technology, Iraq | ||
| 2Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq | ||
| تاریخ دریافت: 15 آبان 1400، تاریخ بازنگری: 25 آبان 1400، تاریخ پذیرش: 09 آذر 1400 | ||
| چکیده | ||
| In this paper, the local bifurcation conditions that occur near each of the equilibrium points of the eco-epidemiological system of one prey population apparition with two diseases in the same population of predator have been studied and analyzed, near $E_1,E_2,E_3,E_4$ and $E_5$, a transcritical bifurcation can occur, a saddle-node bifurcation happened near $E_5$. Pitchfork bifurcation was occurrences at $E_2,E_3,E_4$ and $E_5$. Moreover conditions for Hopf- bifurcation was studied near both of one disease stable point $E_3, E_4$ and $E_5$ . About elucidation of the status of local bifurcation the associated of the set of hypothetical parameters with numerical results which assert our analytical results of this model. | ||
| کلیدواژه‌ها | ||
| Eco-epidemiological model؛ Local bifurcation؛ Hopf-bifurcation؛ SIS disease؛ SI disease؛ Sotomayor's theorem | ||
| مراجع | ||
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[1] Z.K. Alabacy and A.A. Majeed, The fear effect on a food chain prey-predator model incorporating a prey refuge and harvesting, J. Phys. Conf. Ser. 1804 (2021) 012077. [2] R.M. Anderson and R.M. May, The invasion persistence and spread of infectious diseases within animal and plant communities, Philos, Trans. R. Soc. Lond. Bio. Sci. 314 (1982) 533–570. [3] V. Andreasen and A. Sasaki, Shaping the phylogenetic tree of influenza by cross-immunity, Theore. Popul. Bio. 70 (2006) 164–173. [4] N. Bairagi, P.K. Roy and J. Chattopadhyay, Role of infection on the stability of a predator-prey system with several response functions A comparative study, J. Theore. Bio. 248 (2007) 10–25. [5] D.J. Earn, D.J. Dushoff and S.A. Levin, Ecology and evolution of the flu, Trends Ecol. Evolut. 17 (2002) 334–340. [6] N.M. Ferguson, A.P. Galvani and R.M. Bush, Ecological and immunological determinants of influenza evolution, Nature 422 (2003) 428–433. [7] M. Haque and E. Venturino, Increase of the prey may decrease the healthy predator population in presence of disease in the predator, HERMIS 7 (2006) 38–59. [8] A.J. Kadhim and A.A. Majeed, The impact of toxicant on the food chain ecological model, AIP Conf. Proc. 2292 (2020) 0030690. [9] A.J. Kadhim and A.A. Majeed, Epidemiological model involving two diseases in predator population with Holling type-II functional response, Int. J. Nonlinear Anal. Appl. 12 (2021) 2085–2107. [10] E.M. Kafi and A.A. Majeed, The dynamics and analysis of stage-structured predator-prey model involving disease and refuge in prey population, J. Phys. Conf. Ser. 1530 (2020) 012036. [11] H.S. Kareem and A.A. Majeed, Qualitative study of an eco-toxicant model with anti-predator behavior, Int. J. Anal. Appl. 12 (2021) 1861–1882. [12] H.S. Kareem and A.A. Majeed, The bifurcation analysis of an eco-toxicant model with anti-predator behavior, Int. J. Anal. Appl. 13 (2021) 1785–1801. [13] M.A. Lafta, A.A. Majeed, The food web prey-predator model with toxin, AIP Conf. Proc. 2292 (2020) 0030935. [14] A.A. Majeed and M.A. Ismaeel, The bifurcation analysis of prey-predator model in the presence of stage-structured with harvesting and toxicity, J. Phys. Conf. Ser. 1362(1) (2019) 012155. [15] A.A. Majeed and E.M. Kafi, The role of mathematical models in responding to pavement failures and distresses in taxas, J. Phys. Conf. Ser. 1362 (2019) 012149. [16] A.A. Majeed and Z.Kh. Alabacy, The bifurcation analysis of an ecological model involving SIS disease with refuge, Int. J. Anal. Appl. 13 (2022) 901–919. [17] A.A. Majeed, The bifurcation of an ecological model involving sage structures in both populations with toxin, Itlian J. Pure Math. 46 (2021) 171-183. [18] A.A. Majeed and M.A. Lafta, The bifurcation analysis of food web prey-predator model with toxin, J. Phys. Conf. Ser. 1897 (2021) 012080. [19] A.A. Majeed and A.J. Kadhim, The bifurcation analysis and persistence of the food chain ecological model with toxicant, J. Phys. Conf. Ser. 1818 (2021) 012191. [20] A.A. Majeed and S.G. Haider, The bifurcation of the dynamics of prey–predator model with harvesting involving diseases in both populations, Sci.Int. (Lahour) 30 (2018) 793–805. [21] R. Omori, B. Adams and A. Sasaki, Coexistence conditions for strains of influenza with immune cross-reaction, J. Theor. Bio. 262 (2010) 48–57. [22] L. Perko, Differential Equation and Dynamical Systems, Third Edition, New York, Springer-Verlag Inc., 2001. [23] T.A. Radie and A.A. Majeed, Qualitative study of an eco-toxicant model with migration, Int. J. Anal. Appl. 12 (2022) 1883–1902. [24] S. Wang and H. Yu, Stability and bifurcation analysis of the Bazykin’s predator-prey ecosystem with Holling type II functional response, Math. Biosci. Engin. 18 (2021) 7877–7918. | ||
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