Survival and Stationary Distribution in a Stochastic SIS Model by Yanli Zhou, Weiguo Zhang, Sanling Yuan

“…In particular, we show that random effects may lead the disease to extinction in scenarios where the deterministic model predicts persistence. …”
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“When the war is over […] we will all enlist again” (The Lice): W.S. Merwin P(r)o(ph)etic by Hélène Aji

“…The poems delineate empty indeterminate agents that are intent on performing the dreadful acts that will lead them to a deadly future of extinction. In the wake of T.S. Eliot’s and William Carlos Williams’ opposed yet paradoxically converging visions of spring, W.S. …”
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Global Stability and Hopf Bifurcation for Gause-Type Predator-Prey System by Shuang Guo, Weihua Jiang

“…Firstly, local stability of equilibrium indicating the extinction of top-predator is obtained. Meanwhile, we construct a Lyapunov function, which is an extension of the Lyapunov functions constructed by Hsu for predator-prey system (2005), to give the global stability of the equilibrium. …”
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Influence of thunderstorm cloud on the performance of satellite-to-ground quantum link and parameters simulation by Min NIE, Li SHI, Guang YANG, Chang-xing PEI

“…In order to investigate the effect of thunderstorm cloud on the performance of satellite-to-ground quantum link,according to the extinction cross section and the number concentration distribution function of the charged particle in the thunderstorm cloud,the relationships among the particle concentration,charge density and link attenuation of charged particles in atmosphere were established.The relationship between the atmospheric concentration of charged particles,the charge density on the average channel capacity,channel fidelity,channel survival function and bit error rate of quantum key distribution system were put out.The simulation results show that the thunderstorm cloud has a significant effect on the performance of the satellite-to-ground quantum link.So in order to improve the reliability of satellite-ground quantum communication,the system parameters should be adjusted according to the forecast of the thunderstorm cloud.…”
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The Dynamics of the Schoener-Polis-Holt model of Intra-Guild Predation by Eric Ruggieri, Sebastian J. Schreiber

“…A global analysis reveals thatthis model exhibits generically six dynamics: extinction of one orboth species; coexistence about a globally stable equilibrium;contingent exclusion in which the first established species preventsthe establishment of the other species; contingent coexistence inwhich coexistence or displacement of the intraguild prey depend oninitial conditions; exclusion of the intraguild prey; and exclusionof the intraguild predator. …”
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Dynamics and Optimal Harvesting Control for a Stochastic One-Predator-Two-Prey Time Delay System with Jumps by Tingting Ma, Xinzhu Meng, Zhengbo Chang

“…Using the comparison theorem of stochastic differential equations and asymptotic approaches, sufficient conditions for persistence in mean and extinction of three species are derived. By analyzing the asymptotic invariant distribution, we study the variation of the persistent level of a population. …”
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Oil Exploration and Exploitation in Ugbo (Ilaje) Communities of Coastal Yorubaland by ‘Gbade Ikuejube, O.A. Funmilayo

“…This natural resource has attracted the attention of oil companies, whose activities often result in economic and social problems such as environmental pollution, occupational dislocation, cultural extinction and rural urban drift. However, the attitude of the people in this region, especially the militant youths, has also contributed to environmental degradation: oil pipe vandalization has become a constant occurrence, and it has a debilitating effect on the environment. …”
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Full Wave Modeling of Array Structures Using Generalized Single-Source Tangential Equivalence Principle Algorithm by Hanru Shao, Jianfeng Dong, Jun Hu

“…This scheme can also reduce the number of unknowns by half via the extinction theorem and keep the good accuracy by using tangential field projection. …”
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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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Analysis of Stochastic Predator-Prey Model with Disease in the Prey and Holling Type II Functional Response by C. Gokila, M. Sambath, K. Balachandran, Yong-Ki Ma

“…We derive the conditions for extinction and permanence of species. Moreover, we construct appropriate Lyapunov functions and discuss the asymptotic stability of equilibria. …”
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Plausible Applicability of Aqueous Congo Red Dye System as Secondary Gamma-ray Dosimeter by I. Das Sarma, D. V. Parwate

“…Aqueous congo red dye solutions in the concentration range of 0.01–0.03mM were irradiated for varying γ doses 0.050 kGy to 0.150 kGy. The molar extinction coefficient of the dye solution of congo red was found to be 2.70×105 at its absorption maxima 499.0 nm. …”
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Effect of Thickness on Structural and Optical Properties of Tetra-tert- butyl-2, 3-naphthalocyanine Thin Films by I. Dhanya, C S Menon

“…Various optical constants like band gap energy, Eg the width of band tails of localized states into the gap, EU and steepness parameter, β gets calculated and the variation of different optical parameters like refractive index, extinction coefficient, dielectric constants, optical conductivity and surface and volume energy losses with photon energy are estimated.…”
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Securing black lion tamarin populations: improving habitat-based inputs and risks for population viability analysis to inform management decisions by Francy Forero-Sánchez, Francy Forero-Sánchez, Gabriela Cabral Rezende, Gabriela Cabral Rezende, Cláudio Valladares-Pádua, Cláudio Valladares-Pádua, Fabio Stucchi Vannucchi, Fabio Stucchi Vannucchi, Leandro Jerusalinsky, Leandro Jerusalinsky, Luciana Pacca, Kathy Traylor-Holzer

“…Wild populations across the globe face an escalating risk of decline and potential extinction due to a variety of threats. Key among these are habitat loss and degradation, which results in smaller, isolated populations that are vulnerable to stochastic effects. …”
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Positive Periodic Solutions of an Epidemic Model with Seasonality by Gui-Quan Sun, Zhenguo Bai, Zi-Ke Zhang, Tao Zhou, Zhen Jin

“…For the nonautonomous case, by introducing the basic reproduction number defined by the spectral radius, we study the uniform persistence and extinction of the disease. The results show that for the periodic system the basic reproduction number is more accurate than the average reproduction number.…”
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Cerebellar and Hippocampal Activation During Eyeblink Conditioning Depends on the Experimental Paradigm: A MEG Study by Peter Kirsch, Caroline Achenbach, Martina Kirsch, Matthias Heinzmann, Anne Schienle, Dieter Vaitl

“…Comparable conditioning effects were seen in both conditions, but a greater resistance to extinction for trace conditioning. Brain activation differed between paradigms: delay conditioning provoked activation only in the cerebellum and trace conditioning only in the hippocampus. …”
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Del Antropoceno al Ecoceno: propuestas jurídicas de la transición ecosocial para el cuidado de la vida by Susana Borràs-Pentinat

“…The destruction of habitats, the extinction of biodiversity, the climatic emergency… have generated a situation of global disease, which places the Earth system at the limits of its capacity and in which humans are not at all oblivious to the consequences of this pathology. …”
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A Detailed Analytical Study of Non-Linear Semiconductor Device Modelling by Umesh Kumar

“…An additional feature of this model is that it describes the domain extinction and nucleation phenomena in Gunn dioder with the help of a simple timing circuit. …”
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Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics by Mei Yan, Yongfeng Li, Zhongyi Xiang

“…By comparing the two threshold values of mature prey-extinction, we provide the fact that the second control tactic is more effective than the first control method.…”
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Astronomy Lab I: Photometric Experiments for Physics Students by Reza Rezaei

“…In Astronomy Lab I, students learned to polar align equatorial mounts, measure the read and shot noises, estimate the spatial resolution in long exposure images, measure the solar limb darkening, stack a number of images to get a high signal to noise final image, calculate magnitude using aperture photometry, retrieve the absorption coefficient for each filter, correct for the atmospheric extinction and draw a Hertzsprung-Russell (HR) diagram for open clusters.…”
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Local and global asymptotic behavior of malaria-filariasis coinfections in compliant and noncompliant susceptible pregnant women to antenatal medical program in the tropics by Oluwatayo M. Ogunmiloro

“…The basic reproduction number ${R_{mf}}$ of the coepidemic model is obtained, and we investigated that it is the threshold parameter between the extinction and persistence of the coepidemic disease. …”
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