Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth by Tin Nwe Aye, Linus Carlsson

“…In these models, we study the resilience, the recovery potential, and the probability of extinction and show how these properties are affected by different harvesting rates, both in a deterministic and stochastic setting. …”
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On a Five-Dimensional Nonautonomous Schistosomiasis Model with Latent Period by Shujing Gao, Yanfei Dai, Dehui Xie

“…For the periodic and almost periodic cases, some corollaries for the extinction and permanence of the disease are established. …”
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Stability Analysis of a Ratio-Dependent Predator-Prey Model Incorporating a Prey Refuge by Lingshu Wang, Guanghui Feng

“…By analyzing the corresponding characteristic equations, the local stability of a predator-extinction equilibrium and a coexistence equilibrium of the system is discussed, respectively. …”
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Visually-guided compensation of deafening-induced song deterioration by Manon Rolland, Anja T. Zai, Anja T. Zai, Richard H. R. Hahnloser, Richard H. R. Hahnloser, Catherine Del Negro, Nicolas Giret

“…Birds exposed to the contingent visual stimulus—a brief light extinction—showed more stable song syllables than birds that received either no light extinction or randomly triggered light extinction. …”
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Near-Zero-Refractive-Index Structure at Optical Frequencies by Hassan S. Ashour

“…The modal dispersion relation and the power flow were numerically solved for a given set of parameters: dielectric slab thickness, the operating frequency, mode order, and the power flow and extinction in the structure. The real part of the effective refractive index exhibits near-zero values, with small extinction coefficient values. …”
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Stationary Distribution and Periodic Solution of Stochastic Toxin-Producing Phytoplankton–Zooplankton Systems by Chunjin Wei, Yingjie Fu

“…The results show that weaker white noise and/or toxicity will strengthen the stability of system, while stronger white noise and/or toxicity will result in the extinction of one or two populations.…”
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The evolutionarydynamics of a population model with a strong Allee effect by Jim M. Cushing

“…An evolutionary game theoretic model for a population subject to predationand a strong Allee threshold of extinction is analyzed using, among othermethods, Poincaré-Bendixson theory. …”
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HOW TO ANSWER CHILDREN QUESTIONS by O. Brenifier

“…The article discusses the main reasons for the extinction of the children’s curiosity by illustrating examples of an erroneous behaviour of adults in dealing with children. …”
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A New Shunt Capacitor-Commutated Converter for Reducing Commutation Failure Probability of HVDC Transmission and Converter Transformer Noise by Hao Zhang, Sijia Hu, Longfu Luo, Jinjie Lin, Liang Zhao, Zhiwen Zhang

“…Furthermore, a constant extinction VTA control strategy is designed for the SCCC-based inverter. …”
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Delayed population models with Allee effects and exploitation by Eduardo Liz, Alfonso Ruiz-Herrera

“…Allee effects make populations more vulnerable to extinction, especially under severe harvesting or predation. …”
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Investigating the Typology of Causative Constructions in the Semnani Language by Ebrahim Rezapour, Mona Pishgoo

“…The language of Semnani is one of the live languages in Iran that is endangered to gradual extinction. Therefore, the speakers of this language must study and record it to save it and prevent its extinction. …”
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Le réchauffement climatique va-t-il conduire les petites îles à être englouties sous les invasions biologiques ? by Jacques Tassin

“…Such an analysis reveals that in some cases, invasive species can provide functional compensations resulting from the extinction of native species, and that they can even increase the production of goods and ecological services.…”
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Threshold dynamics of stochastic SIRSW infectious disease model with multiparameter perturbation by Zhengwen Yin, Yuanshun Tan

“…In addition to establishing the existence and uniqueness of the global positive solution of the model, we derived the threshold conditions for the extinction and persistence of the disease using the comparison theorem and It$ \hat{o} $'s formula of stochastic differential equations. …”
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Asteroids: Assessing Catastrophic Risks by Graciela Chichilnisky, Peter Eisenberger

“…We evaluate two risk profiles: (i) global warming risks and (ii) collisions with asteroids that can cause the extinction of our species. The expected values computed for these two risks suggest that no action will be taken to avoid extinction. …”
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Dynamic Behaviors of a Discrete Lotka-Volterra Competition System with Infinite Delays and Single Feedback Control by Liang Zhao, Xiangdong Xie, Liya Yang, Fengde Chen

“…Also, by constructing some suitable discrete Lyapunov functionals, some sufficient conditions for the global attractivity and extinction of the system are obtained. It is shown that if the the discrete Lotka-Volterra competitive system with infinite delays and without feedback control is permanent, then, by choosing some suitable feedback control variable, the permanent species will be driven to extinction. …”
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Predator Interference in a Predator–Prey Model with Mixed Functional and Numerical Responses by Jawdat Alebraheem

“…Predator interference effects are theoretically and numerically studied in terms of stability, coexistence, and extinction. Theoretical results show that the system has no effect on coexistence or extinction in these types of models. …”
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Epidemic threshold conditions for seasonally forced SEIR models by Junling Ma, Zhien Ma

“…For autonomous models, the basic reproduction number $\mathcal{R}_0 < 1$ is usually both necessary and sufficient for the extinction of diseases. For seasonally forced models, $\mathcal{R}_0$ is a function of time $t$. …”
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Diffusively-Coupled Rock-Paper-Scissors Game with Mutation in Scale-Free Hierarchical Networks by Takashi Nagatani, Genki Ichinose

“…The results show that, with increasing mutation rate μ, the extinction of P species occurs and then the extinction of R species occurs, and finally only S species survives. …”
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Optical properties of polyvinyl alcohol-glass waste powder composites by Hani M. Hussien

“…Also, the increase of extinction coefficient and imaginary dielectric constant with wavelength is related to the amount of glass powder added. …”
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Impacts of hunting cooperation and prey harvesting in a Leslie-Gower prey-predator system with strong Allee effect by Na Min, Hongyang Zhang, Xiaobin Gao, Pengyu Zeng

“…The conditions for the uniformly persistence of the system and the extinction of populations have been established. We studied the existence and type of singularities, including primary singularities and higher-order singularities. …”
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