Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis by Abayneh Kebede Fantaye, Zerihun Kinfe Birhanu

“…Following that, the authors have looked at the local and global stability of the model’s khat-free and endemic equilibrium points. When R0<1, the chewing khat-free equilibrium point is locally and globally asymptotically stable, whereas when R0>1, the endemic equilibrium point is locally and globally asymptotically stable. …”
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Concurrent Infection with Dengue and Malaria: An Unusual Presentation by Mohsin Bin Mushtaq, Mehmood I. Qadri, Aaliya Rashid

“…Dengue and malaria are both endemic in South Asia and represent a major public health burden in this region. …”
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Susceptibility Profiles of Mycobacterium ulcerans Isolates to Streptomycin and Rifampicin in Two Districts of the Eastern Region of Ghana by Enid Owusu, Mercy Jemima Newman, Nana Konama Kotey, Amos Akumwena, Elizabeth Bannerman

“…With the successful definitive management of BU using rifampicin and streptomycin, little attention had been paid to monitoring emergence of resistant Mycobacterium ulcerans (M. ulcerans) isolates in endemic communities. This study investigated the susceptibility profiles of M. ulcerans isolates from two BU endemic areas in Ghana to streptomycin and rifampicin. …”
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Existence of multiple-stable equilibria for a multi-drug-resistant model of mycobacterium tuberculosis by Abba B. Gumel, Baojun Song

“…The modelhas a disease-free equilibrium, which is locally asymptotically stable if a cer-tain threshold, known as the effective reproduction number, is less than unity.Further, the model undergoes a backward bifurcation, where the disease-freeequilibrium coexists with a stable endemic equilibrium. One of the main nov-elties of this study is the numerical illustration of tri-stable equilibria, wherethe disease-free equilibrium coexists with two stable endemic equilibrium whenthe aforementioned threshold is less than unity, and a bi-stable setup, involving two stable endemic equilibria, when the effective reproduction number isgreater than one. …”
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Global stability of a multi-group model with vaccination age, distributed delay and random perturbation by Jinhu Xu, Yicang Zhou

“…A multi-group epidemic model withdistributed delay and vaccination age has been formulated and studied.Mathematical analysis shows that the global dynamics of the model is determinedby the basic reproduction number $\mathcal{R}_0$:the disease-free equilibrium is globally asymptotically stable if $\mathcal{R}_0\leq1$,and the endemic equilibrium is globally asymptotically stable if $\mathcal{R}_0>1$.Lyapunov functionals are constructed by the non-negative matrix theory and a novel grouping techniqueto establish the global stability.The stochastic perturbation of the model is studied and it is provedthat the endemic equilibrium of the stochastic model is stochastically asymptotically stablein the large under certain conditions.…”
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Two Cases of Lacaziosis in Bottlenose Dolphins (Tursiops truncatus) in Japan by Keiichi Ueda, Ayako Sano, Jyoji Yamate, Eiko Itano Nakagawa, Mitsuru Kuwamura, Takeshi Izawa, Miyuu Tanaka, Yuko Hasegawa, Hiroji Chibana, Yasuharu Izumisawa, Hirokazu Miyahara, Senzo Uchida

“…Lacaziosis, formerly called lobomycosis, caused by Lacazia loboi, is a zoonotic mycosis found in humans and dolphins and is endemic in the countries on the Atlantic Ocean. Although the Japanese coast is not considered an endemic area, photographic records of lacaziosis-like skin lesions were found in bottlenose dolphins (Tursiops truncatus) that were migrating in the Goto Islands (Nagasaki Prefecture, Japan). …”
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Acute Severe Calculous Cholecystitis with Multiorgan Failure Complicated by Scrub Typhus by Suman Acharya, Jayant Kumar Yadav, Nischal Khanal, Raju Bhandari, Bikal Ghimire

“…Scrub typhus should be considered as a trigger in a patient presenting with cholecystitis in a typhus endemic region.…”
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Harnessing the Power of AI to Improve Detection, Monitoring, and Public Health Interventions for Japanese Encephalitis by Junhua Xiao, Evie Kendal, Faith A. A. Kwa

“…Japanese Encephalitis (JE) is the leading cause of viral encephalitis in regions with endemic Japanese Encephalitis Virus (JEV) infections. …”
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Global Dynamic Behavior of a Multigroup Cholera Model with Indirect Transmission by Ming-Tao Li, Gui-Quan Sun, Juan Zhang, Zhen Jin

“…For the proof of global stability with the disease-free equilibrium, we use the comparison principle; and for the endemic equilibrium we use the classical method of Lyapunov function and the graph-theoretic approach.…”
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A Study of the anthrax transmission model in herbivorous animals involving vaccination and harvesting by Anita Triska, Mona Zevika

“…When the endemic equilibrium is unstable, a limit cycle occurs. …”
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Mathematical Modelling of the Transmission of Ebola Virus in Human Populations in Uganda. by Nkamuhabwa, Jolly

“…The research proposal is guided by some objectives which include developing and analyzing a mathematical model for the transmission of the Ebola virus in human populations of Uganda, formulating a modified SIER model for the Ebola virus disease transmission dynamics, determining disease-free equilibrium points and the basic reproduction number, to determine the endemic equilibrium points and to investigate the local stability of both the disease-free and endemic equilibrium points. …”
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Stability and Hopf Bifurcation for a Delayed SIR Epidemic Model with Logistic Growth by Yakui Xue, Tiantian Li

“…Directly afterwards, we prove that the endemic equilibrium is locally asymptotically stable for any τ=0; when R0>1, the disease will persist. …”
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The Global Dynamics of an Age-Structured Hand-Foot-Mouth Disease Model with Saturation Incidence and Time Delay by Dongxue Yan, Mengqi Zhang, Jiashan Tang

“…While R0>1, there exists an endemic equilibrium, and the global stability of the endemic equilibrium is also demonstrated. …”
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Scrub Typhus and Influenza A Co-Infection: A Case Report by Chie Yamamoto, Ayano Maruyama, Jun Munakata, Tasuku Matsuyama, Keitaro Furukawa, Ryosuke Hamashima, Motohiko Ogawa, Yuki Hashimoto, Akiko Fukuda, Tohru Inaba, Yoko Nukui

“…It now extends beyond the Tsutsugamushi Triangle, the region wherein it has traditionally been endemic. Influenza has also resurged since the infection control measures against COVID-19 were relaxed. …”
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Assessing the Feasibility of Using a Multiplex Serological Assay to Conduct Serosurveillance for Malaria Exposure in Deployed Military Personnel by Sidhartha Chaudhury, Jessica S. Bolton, Edwin Kamau, Elke S. Bergmann-Leitner

“…Reproducibly assessing malaria exposure is critical for force health protection for military service members deployed to malaria-endemic regions as well as for civilians making public health decisions and evaluating malaria eradication efforts. …”
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On a New Epidemic Model with Asymptomatic and Dead-Infective Subpopulations with Feedback Controls Useful for Ebola Disease by M. De la Sen, A. Ibeas, S. Alonso-Quesada, R. Nistal

“…The local stability analysis around both the disease-free and endemic equilibrium points is performed by the investigation of the eigenvalues of the corresponding Jacobian matrices. …”
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Serological Evidence of Increased Coccidioides immitis Infections in Western Canada in 1996 by Errol Prasad, Patricia Diediw, Donna Fernandes, Lorreen Hodge, Katherine Ower, Robert Rennie

“…OBJECTIVE: To investigate the epidemiology of Coccidioides immitis infection in persons returning to western Canada from C immitis endemic zones in southwestern United States.…”
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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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