Walters, Nadine; Van Zyl, Gusti; Beyers, Frederik Johannes Conradie(World Scientific Publishing, 2019-03)
We consider the fraction of nodes that default in large, stochastic, inhomogeneous financial networks following an initial shock to the system. Results for deterministic sequences of networks are generalized to stochastic ...
Moutsinga, Claude Rodrigue Bambe; Pindza, Edson; Mare, Eben(Elsevier, 2018-01)
Most existing multivariate models in finance are based on diffusion models. These models
typically lead to the need of solving systems of Riccati differential equations. In this paper, we
introduce an efficient method ...
Pindza, Edson; Youbi, Francis; Mare, Eben; Davison, Matt(American Institute of Mathematical Sciences, 2019-06)
A new barycentric spectral domain decomposition methods algorithm for solving partial integro-differential models is described. The method is applied to European and butterfly call option pricing problems under a class of ...
Recent years have seen a growing interest among investors in the new technology of blockchain and cryptocurrencies and some early investors in this new type of digital assets have made significant gains. The heuristic ...
We prove that any correspondence (multi-function) mapping a metric space into a Banach space that satisfies a certain pointwise Lipschitz condition, always has a continuous selection that is pointwise Lipschitz on a dense ...
Lerata, Mataeli B.; Lubuma, Jean M.-S.; Yusuf, Abdullahi Ahmed(Wiley, 2018-12)
This work deals with two mathematical models on the declines of honeybee colonies. Starting from the model proposed eight years ago by Khoury, Meyerscough, and Barron, (KMB model), we kept the eclosion function and changed ...
Anguelov, Roumen; Dukuza, Kenneth; Lubuma, Jean M.-S.(Wiley, 2018-12)
The bifurcation analysis of a continuous n‐dimensional nonlinear dynamical system with a nonhyperbolic equilibrium point is done by using the main theorem in the work of Castillo‐Chavez and Song. We derive an analog of ...
Garba, Salisu M.; Mumba, Chibale K.(Wiley, 2018-12)
A deterministic model for the transmission dynamics of HIV and Trichomonas vaginalis (TV) in a human population is designed and rigorously analysed. The model is shown to exhibit the phenomenon of backward bifurcation, ...
Sauer, Niko; Banasiak, Jacek; Lee, Wha-Suck(South Ural State University, 2018)
This is a brief exposition of dynamic systems approaches that form the basis for linear
implicit evolution equations with some indication of interesting applications. Examples in
in nite-dimensional dissipative systems ...
Banasiak, Jacek(South Ural State University, 2018-08)
In this note we consider the population the model of which, derived on the basis
of ethnographical accounts, includes a projection matrix with both positive and negative
entries. Interpreting the eventually negative ...
In this work we consider the Hodgkin Huxley model in the form of a coupled system of one singularly perturbed partial differential equation and three ordinary differential equations. The existence of a small parameter, the ...
The time dependent Navier Stokes equations under nonlinear slip boundary conditions are discretized by backward Euler scheme in time and finite elements in space. We derive error estimates for the semi-discrete problems. ...
Mare, Eben(Academy of Science of South Africa, 2018-07-30)
On a historical basis, South African equity markets have outperformed inflation significantly. Using returns from the
2016 version of the Credit Suisse Global Investment Sourcebook1, I observe that over the period 1900 ...
A deterministic model for the transmission dynamics of Zika is designed and rigorously analysed. A model consisting of mutually exclusive compartments representing the human and mosquito dynamics takes into account both ...
Garba, Deen L.; Garba, Salisu M.; Gumel, Abba B.; Sharomi, Oluwaseun(Wiley, 2018-12)
A new deterministic model for the transmission dynamics of feline immunodeficiency virus (FIV) and bovine tuberculosis (BTB) in lion‐buffalo population is designed and used to gain insight into the transmission dynamics ...
Moraschini, T.; Raftery, James G.; Wannenburg, J.J. (Johan)(Springer, 2019-02)
We characterize, in syntactic terms, the ranges of epimorphisms in an arbitrary class of similar first-order structures (as opposed to an elementary class). This allows us to strengthen a result of Bacsich, as follows: in ...
Hilbert’s and Thompson’s metric spaces on the interior of cones in JB-algebras are important
examples of symmetric Banach-Finsler spaces. In this paper we characterize the Hilbert’s
metric isometries on the interiors of ...
Mukhtar, Abdulaziz Y. A.; Munyakazi, Justin B.; Ouifki, Rachid; Clark, Allan E.(Public Library of Science, 2018-06-08)
A campaign for malaria control, using Long Lasting Insecticide Nets (LLINs) was launched
in South Sudan in 2009. The success of such a campaign often depends upon adequate
available resources and reliable surveillance ...