این سایت در حال حاضر پشتیبانی نمی شود و امکان دارد داده های نشریات بروز نباشند
International Journal of Nonlinear Analysis and Applications، جلد ۱۲، شماره ۱، صفحات ۶۳۳-۶۴۸
عنوان فارسی
چکیده فارسی مقاله
کلیدواژه‌های فارسی مقاله
عنوان انگلیسی Investigating the dynamics of Lotka$-$Volterra model with disease in the prey and predator species
چکیده انگلیسی مقاله ‎In this paper, a predator$-$prey model with logistic growth rate in the prey population was proposed. It included an SIS infection in the prey and predator population. The stability of the positive equilibrium point, the existence of Hopf and transcortical bifurcation with parameter $a$ were investigated, where $a$ was regarded as predation rate. It was found that when the parameter $a$ passed through a critical value, stability changed and Hopf bifurcation occurred. Biologically, the population is positive and bounded. In the present article, it was also shown that the model was bounded and that it had the positive solution. Moreover, the current researchers came to the conclusion that although the disease was present in the system, none of the species would be extinct. In other words, the system was persistent. Important thresholds, $R_{0}, R_{1}$ and $R_{2}$, were identified in the study. This theoretical study indicated that under certain conditions of $R_{0}, R_{1}$ and $R_{2}$, the disease remained in the system or disappeared.
کلیدواژه‌های انگلیسی مقاله ‎Differential Equations‎, ‎Threshold‎, ‎Prey$-$Predator Model‎, ‎Global Stability‎, ‎SIS Disease‎
نویسندگان مقاله Atena Ghasemabadi |
Esfarayen University of Technology‎, ‎Esfarayen‎, ‎North Khorasan‎, ‎Iran

Mohammad Hossien Rahmani Doust |
Department of Mathematics‎, ‎University of Neyshabur‎, ‎Adib BLVD‎, ‎Neyshabur‎, ‎Iran‎

نشانی اینترنتی https://ijnaa.semnan.ac.ir/article_4867_4831f3112817a66f9e558b0b7d401125.pdf
فایل مقاله فایلی برای مقاله ذخیره نشده است
کد مقاله (doi)
زبان مقاله منتشر شده en
موضوعات مقاله منتشر شده
نوع مقاله منتشر شده
برگشت به: صفحه اول پایگاه   |   نسخه مرتبط   |   نشریه مرتبط   |   فهرست نشریات