The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues.Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.
《自然现象的数学建模》（The Mathematical Modeling of Natural Phenomena，简称MMNP）是一本国际性研究期刊，发表生物学、医学、化学、物理学和其他领域的数学建模的顶级原创和评论论文、简短通讯和论文集。该杂志的范围是致力于数学建模与充分先进的模型，和工作主要研究的存在性和稳定性的驻点常微分方程系统不考虑。该杂志的范围还包括应用数学和数学分析的背景下，其应用于真实的世界的问题。该杂志基本上是在代表活跃研究领域的专题问题的基础上运作。每个专题都有自己的编辑委员会。作者被邀请提交论文，以宣布的问题或建议新的问题。杂志发表研究文章和评论在整个领域的数学建模，它将继续提供最新的趋势和发展的信息，在这个不断扩大的主题。
New aspects of fractional Biswas–Milovic model with Mittag-Leffler law
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018068
A hybrid analytical algorithm for nonlinear fractional wave-like equations
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018063
Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018074
Characterizations of two different fractional operators without singular kernel
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018070
Response functions in linear viscoelastic constitutive equations and related fractional operators
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018067
Fractional order model of immune cells influenced by cancer cells
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019002
Modeling and analysis of fractional neutral disturbance waves in arterial vessels
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018072
A new approach to capture heterogeneity in groundwater problem: An illustration with an Earth equation
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018073
Geographic Environmental Kuznets Curves: The Optimal Growth Linear-Quadratic Case
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018076
Fractional advection–diffusion equation with memory and Robin-type boundary condition
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018075
Distributed optimal control models in environmental economics: a review
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019016
Immune response in HIV epidemics for distinct transmission rates and for saturated CTL response
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019007
Multiscale dynamics of an adaptive catalytic network
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019015
The optimal population size under pollution and migration externalities: A spatial control approach
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019004
Optimal harvesting of a spatially distributed renewable resource with endogenous pricing
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018050
Efficient decomposition of singularly perturbed systems
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019023
Mathematical Modelling of Atherosclerosis
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019050
An infection age-space-structured SIR epidemic model with Dirichlet boundary condition
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/mmnp/2019048
Stabilization of a viscoelastic Timoshenko beam fixed into a moving base
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018057
The existence and asymptotic stability of periodic solutions with an interior layer of Burgers type equations with modular advection
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019009
Black swans and canards in two predator – one prey model
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019024
Propagation of two independent sources of uncertainty in the electrocardiography imaging inverse solution
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018065
Initial-boundary value problems for a time-fractional differential equation with involution perturbation
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019014
A model in continuous time and space to study economic migration
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018077
Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019010
A nash game algorithm for the solution of coupled conductivity identification and data completion in cardiac electrophysiology
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018059
A 3D reaction–diffusion system describing calcium dynamics in cardiac cell
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018064
An optimal quasi solution for the Cauchy problem for Laplace equation in the framework of inverse ECG
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018062
Canards Existence in the Hindmarsh–Rose Model
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1007/978-3-030-25261-8_26
Mathematical modeling of frontal polymerization
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/mmnp/2019059
Inhibition-based relaxation oscillations emerge in resonator networks
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019019
Mathematical modeling of thermal explosion with natural convection: a brief survey
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/mmnp/2019049
On accuracy of numerical solution to boundary value problems on infinite domains with slow decay
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019008
Well-posedness of a nonlocal boundary value difference elliptic problem
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/mmnp/2019060
Parabolic bursting, spike-adding, dips and slices in a minimal model
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019018
Local generalization of transversality conditions for optimal control problem
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019013
MODELING OF EXCITATORY AMINO ACID TRANSPORTERS AND CLEARANCE OF SYNAPTIC CLEFT ON MILLISECOND TIME SCALE
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019020
The evolution of resonance: a multiscale approach to the effect of nonlinearity, frequency dispersion and geometry
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019005
Fronts in subdiffusive FitzHugh–Nagumo systems
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/mmnp/2019036
Analysis of the ECGI inverse problem solution with respect to the measurement boundary size and the distribution of noise
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2018061
Coupled lattice Boltzmann simulation method for bidomain type models in cardiac electrophysiology with multiple time-delays
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/mmnp/2019045
Analysis of advective–diffusive transport phenomena modelled via non-singular Mittag-Leffler kernel
来源期刊：Mathematical Modelling of Natural PhenomenaDOI：10.1051/MMNP/2019011
