Journal of Mathematical Biology
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Spatial instabilities and local oscillations in a lattice gas Lotka–Volterra model
Journal of Mathematical Biology - Tập 35 - Trang 344-358 - 1997
We analyze the evolution of spatially inhomogeneous perturbations in a lattice gas model for a prey-predator population. Starting with the master equation of the model, decoupled by means of a mean field approximation, spatial instabilities are seen to take place in a region of the phase diagram. This is in qualitative agreement with local oscillations already observed in computer simulations. We...... hiện toàn bộ
What the egg can tell about its hen: Embryonic development on the basis of dynamic energy budgets
Journal of Mathematical Biology - Tập 58 - Trang 377-394 - 2008
The energy cost of offspring is important in the conversion of resources allocated to reproduction to numbers of offspring, and in obtaining energy budget parameters from quantities that are easy to measure. An efficient numerical procedure is presented to obtain this cost for eggs and foetusses in the context of the dynamic energy budget theory, which specifies that birth occurs when maturity exc...... hiện toàn bộ
A non-parametric method for determining epidemiological reproduction numbers
Journal of Mathematical Biology - Tập 82 - Trang 1-21 - 2021
In the spreading of infectious diseases, an important number to determine is how many other people will be infected on average by anyone who has become infected themselves. This is known as the reproduction number. This paper describes a non-parametric inverse method for extracting the full transfer function of infection, of which the reproduction number is the integral. The method is demonstrated...... hiện toàn bộ
Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
Journal of Mathematical Biology - Tập 70 - Trang 709-743 - 2014
By introducing linear cross-diffusion for a two-component reaction-diffusion system with activator-depleted reaction kinetics (Gierer and Meinhardt, Kybernetik 12:30–39, 1972; Prigogine and Lefever, J Chem Phys 48:1695–1700, 1968; Schnakenberg, J Theor Biol 81:389–400, 1979), we derive cross-diffusion-driven instability conditions and show that they are a generalisation of the classical diffusion-...... hiện toàn bộ
A multi-time-scale analysis of chemical reaction networks: I. Deterministic systems
Journal of Mathematical Biology - Tập 60 Số 3 - Trang 387-450 - 2010
Perturbation analysis of a two-locus model with directional selection and recombination
Journal of Mathematical Biology - Tập 34 - Trang 95-109 - 1995
A population genetic two-locus model with additive, directional selection and recombination is considered. It is assumed that recombination is weaker than selection; i.e., the recombination parameter r is smaller than the selection coefficients. This assumption is appropriate for describing the effects of two-locus selection at the molecular level. The model is formulated in terms of ordinary diff...... hiện toàn bộ
A super-Gaussian Poisson–Boltzmann model for electrostatic free energy calculation: smooth dielectric distribution for protein cavities and in both water and vacuum states
Journal of Mathematical Biology - Tập 79 Số 2 - Trang 631-672 - 2019
Exact p-values for global network alignments via combinatorial analysis of shared GO termsAbstract Network alignment aims to uncover topologically similar regions in the protein–protein interaction (PPI) networks of two or more species under the assumption that topologically similar regions tend to perform similar functions. Although there exist a plethora of both network alignment algorithms and measures of topological similarity, currently no “gold sta... ... hiện toàn bộ
Journal of Mathematical Biology - - 2024
Stochastic control of ecological networks
Journal of Mathematical Biology - Tập 85 - Trang 1-23 - 2022
The paper models the maintenance of ecological networks in forest environments, built from bioreserves, patches and corridors, when these grids are subject to random processes such as extreme natural events. It also outlines a management plan to support the optimized results. After presenting the random graph-theoretic framework, we apply the stochastic optimal control to the graph dynamics. Our r...... hiện toàn bộ
Zoonotic visceral leishmaniasis transmission: modeling, backward bifurcation, and optimal control
Journal of Mathematical Biology - - 2016
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