Harmless delays for uniform persistence

AbstractThis paper studies a two-dimensional predator-prey system with a finite number of discrete delays. Our purpose is to demonstrate that the time delays are harmless for uniform persistence of the solutions of the system. The results are obtained by constructing suitable persistence functionals

Dynamic behavior of a parasite–host model with general incidence

AbstractIn this paper, we consider the global dynamics of a microparasite model with more general incidences. For the model with the bilinear incidence, Ebert et al. [D. Ebert, M. Lipsitch, K.L. Mangin, The effect of parasites on host population density and extinction: Experimental epidemiology with Daphnia and six microparasites, American Naturalist 156 (2000) 459–477] observed that parasites can reduce host density, but the extinction of both host population and parasite population occurs only under stochastic perturbations. Hwang and Kuang [T.W. Hwang, Y. Kuang, Deterministic extinction effect of parasites on host populations, J. Math. Biol. 46 (2003) 17–30] studied the model with the standard incidence and found that the host population may be extinct in the absence of random disturbance. We consider more general incidences that characterize transitions from the bilinear incidence to the standard incidence to simulate behavior changes of populations from random mobility in a fixed area to the mobility with a fixed population density. Using the techniques of Xiao and Ruan [D. Xiao, S. Ruan, Global dynamics of a ratio-dependent predator–prey system, J. Math. Biol. 43 (2001) 268–290], it is shown that parasites can drive the host to extinction only by the standard incidence. The complete classifications of dynamical behaviors of the model are obtained by a qualitative analysis

Persistence versus extinction for two competing species under a climate change

This paper considers effects of a climate-induced range shift on outcomes of two competitive species, which is modeled by a reaction–diffusion system with the increasing growth rates of species along a shifting habitat gradient. Analytical conditions are established for the coexistence or competitive exclusion of two-competitors under the climate change, which present the control strategies to maintain the persistence of species

An Application of Logit Model to Credit Scoring and its Implications to Financial Market

Master'sMASTER OF SOCIAL SCIENCE

Mathematical models of innovation diffusion with stage structure

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Analysis of the Impacts of Cochlear Implants in the Adults of Sensorineural Hearing Loss: What Is New and Not So New: A Literature Review

PURPOSE: the purpose of this systematic review is to advise on advantages and clinical outcomes of Cochlear implants in adult population with sensorineural hearing loss. Methods: A systematic search of several electronic databases, including PubMed and Embase, was used to identify relevant studies for inclusion. RESULTS: 16 articles were included in our study most of the studies showed better speech recognition, quality of life, speech perception and social interactions. Consistent use of implant showed better results as well as early implantation. CONCLUSION: Early intervention and consistent use of implant is necessary for desired outcome. Sensorineural hearing loss have many different causes from simple infection to genetic mutations. DOI: 10.7176/JHMN/93-05 Publication date:September 30th 202