A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise by Shah Hussain, Elissa Nadia Madi, Hasib Khan, Mohammed S. Abdo

“…Following that, we explain that the stochastic basic production R0 is a threshold that determines the extinction or persistence of the disease. When noise levels are high, we acquire R0<1, which causes the sickness to disappear. …”
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El aragonés: historia de una lengua minoritaria y minorizada by Mª Pilar Benítez Marco, Óscar Latas Alegre

“…Despite the fact that Aragonese is a language exclusive to the Autonomous Community of Aragon and that it was the language used during the Middle Ages in different public and private spheres, it is currently in danger of extinction, according to UNESCO. In fact, the small number of speakers (1.9% of the Aragonese population) and the spaces of use (mainly private and family), together with the lack of intergenerational transmission and institutional support, among other factors, do not favour the survival of the Aragonese language. …”
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Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator by Xiaolin Fan, Zhidong Teng, Haijun Jiang

“…The sufficient conditions on the ultimate boundedness of all positive solutions are obtained, and the sufficient conditions of the integrable form for the permanence and extinction are further established, respectively. Some well-known results on the predator density-dependency are improved and extended to the predator density-independent cases. …”
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Integrative systematics with structural monophyly and ancestral signatures: Chionoloma (Bryophyta) by Richard Zander

“…The reframing of this portmanteau genus directly affects the apprehension of biodiversity and rescues two genera from epistemological extinction.…”
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Contribution à l’analyse de la viabilité d’une petite population de gorilles, Gorilla beringei graueri (Hominidae, Primates), par modélisation et simulations de l’écosystème du Mon... by Jean‑Claude Kasolene Kyungu, Jean Mukulire Malekani, Lohandjola Nyamangombe

“…Ces résultats indiquent combien il est important et urgent de renforcer les mesures de stabilisation de cette petite population par le repeuplement de la forêt avec quelques nouvelles femelles afin de minimiser les risques d’extinction.…”
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Genetic Rescue of the Dinaric Lynx Population: Insights for Conservation From Genetic Monitoring and Individual‐Based Modelling by Elena Pazhenkova, Matej Bartol, Barbara Boljte, Urša Fležar, Andrea Gazzola, Tomislav Gomerčić, Marjeta Konec, Ivan Kos, Miha Krofel, Jakub Kubala, Ladislav Paule, Mihai Pop, Hubert Potočnik, Barbara Promberger, Robin Rigg, Teodora Sin, Magda Sindičić, Vedran Slijepčević, Astrid Vik Stronen, Ira Topličanec, Tomaž Skrbinšek

“…Our results highlight the fact that reinforcement is just the first step and that long‐term genetic management is needed to keep the population from sliding back towards extinction. The Dinaric lynx population serves as a compelling example of genetic rescue. …”
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Dynamic Behaviors of a Nonautonomous Discrete Predator-Prey System Incorporating a Prey Refuge and Holling Type II Functional Response by Yumin Wu, Fengde Chen, Wanlin Chen, Yuhua Lin

“…Our results show that if refuge is large enough then predator species will be driven to extinction due to the lack of enough food. Two examples together with their numerical simulations show the feasibility of the main results.…”
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Dynamic Behaviors of Holling Type II Predator-Prey System with Mutual Interference and Impulses by Hongli Li, Long Zhang, Zhidong Teng, Yaolin Jiang

“…Sufficient conditions for the permanence, extinction, and global attractivity of system are obtained. …”
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Analysis of a Single Species Model with Dissymmetric Bidirectional Impulsive Diffusion and Dispersal Delay by Haiyun Wan, Long Zhang, Zhidong Teng

“…Criteria on the permanence and extinction of species are established. Furthermore, the realistic conditions for the existence, uniqueness, and the global stability of the positive periodic solution are obtained. …”
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The Justification of Tyrannicide in the Chronicle of Dalimil. The Czech Nobility as the “Mystical Body” of the Realm by Éloïse Adde

“…In the context of the succession crisis (interregnum of 1306-1310) entailed by the death of Venceslas III, murdered without descent, and the extinction of the Přemyslide dynasty, its author’s plane was to establish the political role of the Czech nobility. …”
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Stochastic Predator-Prey System Subject to Lévy Jumps by Xinzhu Meng, Xiaohong Wang

“…First, we show that the system has a unique global positive solution for any given initial positive value. Second, the extinction of the system under some appropriate conditions is explored. …”
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Columbia / New York: The Ruins of the Civil War by Thomas Constantinesco

“…These antebellum ruins spoke to America’s uncanny historicity, spelling out its premature growth as well as the risk of its untimely extinction. Their presence, however transient, thus provided Americans with a language to make sense of the devastation caused by the Civil War. …”
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Absorption by an Optical Dipole Antenna in a Structured Environment by E. Castanié, R. Vincent, R. Pierrat, R. Carminati

“…We compute generalized absorption and extinction cross-sections of an optical dipole nanoantenna in a structured environment. …”
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Analysis of an SEIR Epidemic Model with Saturated Incidence and Saturated Treatment Function by Jinhong Zhang, Jianwen Jia, Xinyu Song

“…The basic reproduction number that determines disease extinction and disease survival is given. The existing threshold conditions of all kinds of the equilibrium points are obtained. …”
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Silicon Oxynitride Optical Waveguide Ring Resonator Utilizing a Two-Mode Interferometer Structure by Kaixin Chen, Hau Ping Chan

“…Preliminary results exhibit the same of free spectral range of 100 GHz but different quality factors of 3700 and 3900 at 1550 nm for transverse electric (TE) and transverse magnetic (TM) mode, respectively. The extinction ratio is more than 18 dB over the entire C-band, and the insertion loss is lower than 9.5 dB for TE and TM mode.…”
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Global analysis of a simple parasite-host model withhomoclinic orbits by Jianquan Li, Yanni Xiao, Yali Yang

“…The globaldynamics of the model is completely investigated, and the existenceof heteroclinic and homoclinic orbits is theoretically proved,which implies that the outbreak of parasite infection may happen.The thresholds determining the host extinction in the presence ofparasite infection and variation in the equilibrium level of theinfected hosts with $R_0$ are found. …”
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Threshold dynamics of a time periodic and two–group epidemic model with distributed delay by Lin Zhao, Zhi-Cheng Wang, Liang Zhang

“…We then establish the threshold dynamics of the model in terms of $R_0$, that is, the disease is uniformly persistent if $R_0 \gt 1$, while the disease goes to extinction if $R_0 \lt 1$. Finally, we study the global dynamics for the model in a special case when all the coefficients are independent of spatio–temporal variables.…”
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The Wood Duck by Joseph M. Schaefer, Jennifer Cohen, Mark E. Hostetler

“…By the early 1900s, this highly desirable species was near extinction because of improper hunting regulations and habitat loss. …”
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Dynamic Analysis of a Stochastic SEQIR Model and Application in the COVID-19 Pandemic by Shijie Liu, Maoxing Liu

“…Using the Lyapunov function method, the existence and uniqueness of a global positive solution are considered. Then, the extinction conditions of the epidemic and its asymptotic property around the endemic equilibrium are obtained. …”
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