TY - JOUR
ID - 5915
TI - The bifurcation analysis of an epidemiological model involving two diseases in predator
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Kadhim, Atheer Jawad
AU - Majeed, Azhar A.
AD - Department of Applied Science, University of Technology, Iraq
AD - Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Y1 - 2022
PY - 2022
VL - 13
IS - 1
SP - 2195
EP - 2217
KW - Eco-epidemiological model
KW - Local Bifurcation
KW - Hopf-bifurcation
KW - SIS disease
KW - SI disease
KW - Sotomayor's theorem
DO - 10.22075/ijnaa.2022.5915
N2 - 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.
UR - https://ijnaa.semnan.ac.ir/article_5915.html
L1 - https://ijnaa.semnan.ac.ir/article_5915_554d660b97b6d42438a296014dbcfb4d.pdf
ER -