Exploring the potential of Carica Papaya Leaf Extract: a perspective on its effectiveness in ameliorating thrombocytopenia in dengue patients by Maliha Khalid, Muhammad Saad Khan, Erum Siddiqui, Aminath Waafira

“…Background: Dengue fever (DF) is endemic in Pakistan, posing health risks. Recent flooding in 2022 and strong monsoon rains in 2024 have increased the possibility of an epidemic. …”
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Global Stability of a Host-Vector Model for Pine Wilt Disease with Nonlinear Incidence Rate by Kwang Sung Lee, Abid Ali Lashari

“…We find that if R0≤1, the disease free equilibrium is globally asymptotically stable, and the disease will be eliminated. If R0>1, a unique endemic equilibrium exists and is shown to be globally asymptotically stable, under certain restrictions on the parameter values, using the geometric approach method for global stability, due to Li and Muldowney and the disease persists at the endemic equilibrium state if it initially exists.…”
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Modelling In Vivo HIV Dynamics under Combined Antiretroviral Treatment by B. Mobisa, G. O. Lawi, J. K. Nthiiri

“…The existence of an infection free and positive endemic equilibrium is established. The basic reproduction number R0 is derived using the method of next generation matrix. …”
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Mathematical Analysis of a Cholera Model with Vaccination by Jing'an Cui, Zhanmin Wu, Xueyong Zhou

“…By analyzing the corresponding characteristic equations, the local stability of a disease-free equilibrium and an endemic equilibrium is established. We calculate the certain threshold known as the control reproduction number ℛv. …”
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Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures by Toshikazu Kuniya, Yoshiaki Muroya, Yoichi Enatsu

“…We also show that if the threshold value is greater than unity, then the model is uniformly persistent and has an endemic equilibrium. Moreover, using a Lyapunov functional technique, we obtain a sufficient condition under which the endemic equilibrium is globally asymptotically stable. …”
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A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. by Ayebare, Docus

“…The model incorporated an analysis of both disease-free and endemic equilibrium points to assess their stability. …”
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Mathematical Model for the Transmission Dynamics of Malaria in Kabale Municipality. by Nabasa, Moses

“…It is also shown that the endemic equilibrium solution of the model is globally asymptotically stable if R0>1.…”
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Model analysis for an HIV infectious disease using elasticity and sensitivity techniques by Honar J. Hamad, Sarbaz H. A. Khoshnaw, Muhammad Shahzad

“…The stability of the disease-free and endemic equilibria is investigated to understand the long-term behavior of the model. …”
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Impact of interferon-free regimens in patients with chronic HCV and successfully ablated HCC by Amr Maged Mahmoud Rasheed, Maissa E. L. Raziky, Mohammad El Sayed, Mai Mehrez, Gamal Esmat

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Evaluation of the potential value of artificial intelligence (AI) in public health using fluoride intake as the example by Wei Wei, Tianshu Gu, Yanhong Cao, Shuqiu Sun, Dan Wei, Minghui Li, Alyce D. Fly, Weikuan Gu, Lan Yao, Dianjun Sun

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An update on the ocular manifestations of dengue by Christina Wang, Arturo Castillo, Federico Cortes-Bejarano, Eduardo Lopez, Eduardo Cunha de Souza, Lihteh Wu

“…Dengue must be considered in endemic areas, and a careful travel history needs to be elicited in nonendemic areas.…”
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Pulmonary blastomycosis in a professional diver: An occupational risk by Ryan R Kroll, Ronald F Grossman

“…In certain parts of the United States and Canada, and northern Ontario in particular, the dimorphic fungus Blastomyces dermatitidis is endemic and can cause infection in exposed individuals. …”
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Dynamic Analysis of a Stochastic SEQIR Model and Application in the COVID-19 Pandemic by Shijie Liu, Maoxing Liu

“…When the reproduction number is less than unity, the disease-free equilibrium is locally asymptotically stable, whereas the endemic equilibrium is locally asymptotically stable in the case of a reproduction number greater than unity. …”
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Finite Difference Method for Infection Model of HPV with Cervical Cancer under Caputo Operator by Bushra Bajjah, Mahmut Modanli

“…The model has two equilibrium points: the disease-free point and the endemic point. The examination of the system’s local and global stability is provided in terms of the basic reproductive number Rp°. …”
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First Case of (Imported) Babesiosis Diagnosed in Canada by Dennis Kunimoto, Kevin Krause, Doug Morrison

“…This case highlights the need for clinicians to be aware of diseases that may be endemic elsewhere and the importance of a travel history in a patient’s assessment.…”
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Myocarditis Caused by Brucella melitensis in the Absence of Endocarditis: Case Report and Review of the Literature by Maria Lagadinou, Virginia Mplani, Dimitrios Velissaris, Periklis Davlouros, Markos Marangos

“…Brucellosis remains an important public health problem with endemic characteristics in many countries. Brucellosis can affect almost all organs and systems of human body. …”
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Occupational Neurobrucellosis Mimicking a Brain Tumor: A Case Report and Review of the Literature by Hussein Algahtani, Bader Shirah, Dina Abdulghani, Roiya Farhan, Raghad Algahtani

“…Brucellosis is a zoonotic bacterial infection which is transmitted to humans from infected animals and is endemic in many parts of the world including Saudi Arabia. …”
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Analysis of a Delayed SIR Model with Nonlinear Incidence Rate by Jin-Zhu Zhang, Zhen Jin, Quan-Xing Liu, Zhi-Yu Zhang

“…If ℜ0 is less than one, the disease-free equilibrium is globally asymptotically stable and the disease always dies out, while if it exceeds one there will be an endemic. By using the time delay as a bifurcation parameter, the local stability for the endemic equilibrium is investigated, and the conditions with respect to the system to be absolutely stable and conditionally stable are derived. …”
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Spatial and Temporal Dynamics of a Viral Infection Model with Two Nonlocal Effects by Xiaoyan Wang, Yuming Chen, Junyuan Yang

“…Then we obtain the existence of endemic steady states by Shauder fixed point theorem. …”
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Competing species models with an infectious disease by Roberto A. Saenz, Herbert W. Hethcote

“…A key result in all of these models with the frequency-dependent incidence is that the disease must either die out in both species or remain endemic in both species.…”
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