We consider a Markov chain model for population growth subject to rare catastrophic events. In this model, the moves of the process are getting algebraically rare (as from x−λ) when the process visits large heights x, and given a move occurs and the height is large, the chain grows by one unit with large probability or undergoes a rare catastrophic event with small complementary probability ∼ γ...

We investigate how a catastrophic event (modeled as a temporary fall of the reproduction rate) increases the extinction probability of an isolated self-regulated stochastic population. Using a variant of the Verhulst logistic model as an example, we combine the probability generating function technique with an eikonal approximation to evaluate the exponentially large increase in the extinction ...

Telomeres protect chromosome ends from fusing to double-stranded breaks (DSBs). Using a quantitative real-time PCR assay, we show that nonhomologous end joining between a telomere and an inducible DSB was undetectable in wild-type cells, but occurred within a few hours of DSB induction in approximately 1/2000 genomes in telomerase-deficient cells and in >1/1000 genomes in telomerase-deficient c...

We propose a coevolutionary game to study cooperative behavior in the presence of catastrophic phenomenon. We incorporate tolerance to elimination of individuals in network games where individuals update their strategies synchronously, and there are no birth of individuals and stochastic effects. We find that an avalanchelike death process can arise when defection strategies exist and individua...

Spatial modeling of rare events has obvious applications in the environmental sciences and is crucial when assessing the effects of catastrophic events (such as heatwaves or widespread flooding) on food security and on the sustainability of societal infrastructure. Although classical geostatistics is largely based on Gaussian processes and distributions, these are not appropriate for extremes, ...

In this paper we give a short description of global natural disasters for the Earth’s civilization from space: 1) Galactic and solar cosmic ray (CR) influence on the atmospheric processes; 2) Impacts of great space magnetic storms during big Forbush-effects in CR, 3) Impacts of great radiation hazards from solar CR during flare energetic particle events, 4) Great impacts on planetary climate du...

A principal difficulty in insuring catastrophic risks is the insufficiency of disaggregated historical data on the catastrophe losses. The lack of data and complex spatial and dynamic interdependencies between catastrophic events imply the necessity to base the insurance of property against natural hazards on catastrophe modeling. The purpose of this research is to develop a working tool for in...

Catastrophic events, such as cyclones, floods, droughts, terrorism, or cybercrime, are astronomically on the increase world over. These events disrupt businesses’ smooth continuity leading to reputational digital data and financial losses among others. Zimbabwe’s districts of Chimanimani Chipinge in March 2019 experienced a catastrophic Cyclone Idai that highly disrupted various important busin...