数学生物学杂志专注于数学生物学 - 使用数学方法获得生物学理解或解释生物学现象的工作。涵盖的生物学领域包括但不限于细胞生物学、生理学、发育、神经生物学、遗传学和种群遗传学，人口生物学、生态学、行为生物学、进化论、流行病学、免疫学、分子生物学、生物流体、DNA和蛋白质结构和功能。包括计算和可视化方法在内的所有数学方法都是合适的。

The Journal of Mathematical Biology focuses on mathematical biology, aiming to understand and explain biological phenomena through mathematical methods. The fields of biology covered include, but are not limited to, cell biology, physiology, development, neurobiology, genetics, population genetics, demography, ecology, behavioral biology, evolution, epidemiology, immunology, molecular biology, biophysics, and the structure and function of DNA and proteins. All mathematical methods, including computational and visualization techniques, are welcome.

《Journal of Mathematical Biology》是一本专注于数学生物学的期刊，致力于通过数学方法来理解和解释生物现象。该期刊涵盖的生物学领域包括但不限于细胞生物学、生理学、发育、生物神经学、遗传学、种群遗传学、人口生物学、生态学、行为生物学、进化论、流行病学、免疫学、分子生物学、生物流体以及DNA和蛋白质的结构与功能。所有涉及计算和可视化方法的数学研究均被接受。

Journal of Mathematical Biology

A mathematical model which incorporates the spatial dispersal and interaction dynamics of mistletoes and birds is derived and studied to gain insights of the spatial heterogeneity in abundance of mistletoes. Fickian diffusion and chemotaxis are used to model the random movement of birds and the aggregation of birds due to the attraction of mistletoes, respectively. The spread of mistletoes by birds is expressed by a dispersal operator, which is typically a convolution integral with a dispersal kernel. Two different types of kernel functions are used to study the model, one is a Dirac delta function which reflects the special case that the spread behavior is local, and the other one is a general non-negative symmetric function which describes the nonlocal spread of mistletoes. When the kernel function is taken as the Dirac delta function, the threshold condition for the existence of mistletoes is given and explored in terms of parameters. For the general non-negative symmetric kernel case, we prove the existence and stability of spatially nonhomogeneous equilibria. Numerical simulations are conducted by taking specific forms of kernel functions. Our study shows that the spatial heterogeneous patterns of mistletoes are related to the specific dispersal pattern of birds which carry mistletoe seeds.

Chuncheng Wang

Rongsong Liu

Junping Shi

Carlos Martinez del Rio

Journal of mathematical biology

J Math Biol

Spatiotemporal mutualistic model of mistletoes and birds.

槲寄生与鸟类的时空共生模型。

We define a general class of models representing natural selection between two alleles. The population size and spatial structure are arbitrary, but fixed. Genetics can be haploid, diploid, or otherwise; reproduction can be asexual or sexual. Biological events (e.g. births, deaths, mating, dispersal) depend in arbitrary fashion on the current population state. Our formalism is based on the idea of genetic sites. Each genetic site resides at a particular locus and houses a single allele. Each individual contains a number of sites equal to its ploidy (one for haploids, two for diploids, etc.). Selection occurs via replacement events, in which alleles in some sites are replaced by copies of others. Replacement events depend stochastically on the population state, leading to a Markov chain representation of natural selection. Within this formalism, we define reproductive value, fitness, neutral drift, and fixation probability, and prove relationships among them. We identify four criteria for evaluating which allele is selected and show that these become equivalent in the limit of low mutation. We then formalize the method of weak selection. The power of our formalism is illustrated with applications to evolutionary games on graphs and to selection in a haplodiploid population.

Benjamin Allen

Alex McAvoy

A mathematical formalism for natural selection with arbitrary spatial and genetic structure.

具有任意空间和遗传结构的自然选择数学形式化。

In evolutionary dynamics, a key measure of a mutant trait's success is the probability that it takes over the population given some initial mutant-appearance distribution. This "fixation probability" is difficult to compute in general, as it depends on the mutation's effect on the organism as well as the population's spatial structure, mating patterns, and other factors. In this study, we consider weak selection, which means that the mutation's effect on the organism is small. We obtain a weak-selection perturbation expansion of a mutant's fixation probability, from an arbitrary initial configuration of mutant and resident types. Our results apply to a broad class of stochastic evolutionary models, in which the size and spatial structure are arbitrary (but fixed). The problem of whether selection favors a given trait is thereby reduced from exponential to polynomial complexity in the population size, when selection is weak. We conclude by applying these methods to obtain new results for evolutionary dynamics on graphs.

Fixation probabilities in evolutionary dynamics under weak selection.

弱选择下进化动力学的固定概率。

Malaria, one of the greatest historical killers of mankind, continues to claim around half a million lives annually, with almost all deaths occurring in children under the age of five living in tropical Africa. The range of this disease is limited by climate to the warmer regions of the globe, and so anthropogenic global warming (and climate change more broadly) now threatens to alter the geographic area for potential malaria transmission, as both the Plasmodium malaria parasite and Anopheles mosquito vector have highly temperature-dependent lifecycles, while the aquatic immature Anopheles habitats are also strongly dependent upon rainfall and local hydrodynamics. A wide variety of process-based (or mechanistic) mathematical models have thus been proposed for the complex, highly nonlinear weather-driven Anopheles lifecycle and malaria transmission dynamics, but have reached somewhat disparate conclusions as to optimum temperatures for transmission, and the possible effect of increasing temperatures upon (potential) malaria distribution, with some projecting a large increase in the area at risk for malaria, but others predicting primarily a shift in the disease's geographic range. More generally, both global and local environmental changes drove the initial emergence of P. falciparum as a major human pathogen in tropical Africa some 10,000 years ago, and the disease has a long and deep history through the present. It is the goal of this paper to review major aspects of malaria biology, methods for formalizing these into mathematical forms, uncertainties and controversies in proper modeling methodology, and to provide a timeline of some major modeling efforts from the classical works of Sir Ronald Ross and George Macdonald through recent climate-focused modeling studies. Finally, we attempt to place such mathematical work within a broader historical context for the "million-murdering Death" of malaria.

Steffen E. Eikenberry

Abba B. Gumel

Mathematical modeling of climate change and malaria transmission dynamics: a historical review

气候变化与疟疾传播动力学的数学建模：历史回顾

Communities are commonly not isolated but interact asymmetrically with each other, allowing the propagation of infectious diseases within the same community and between different communities. To reveal the impact of asymmetrical interactions and contact heterogeneity on disease transmission, we formulate a two-community SIR epidemic model, in which each community has its contact structure while communication between communities occurs through temporary commuters. We derive an explicit formula for the basic reproduction number R 0  , give an implicit equation for the final epidemic size z, and analyze the relationship between them. Unlike the typical positive correlation between R 0  and z in the classic SIR model, we find a negatively correlated relationship between counterparts of our model deviating from homogeneous populations. Moreover, we investigate the impact of asymmetric coupling mechanisms on R 0  . The results suggest that, in scenarios with restricted movement of susceptible individuals within a community, R 0  does not follow a simple monotonous relationship, indicating that an unbending decrease in the movement of susceptible individuals may increase R 0  . We further demonstrate that network contacts within communities have a greater effect on R 0  than casual contacts between communities. Finally, we develop an epidemic model without restriction on the movement of susceptible individuals, and the numerical simulations suggest that the increase in human flow between communities leads to a larger R 0  .

Zhimin Han

Yi Wang

Shan Gao

Guiquan Sun

Hao Wang

Final epidemic size of a two-community SIR model with asymmetric coupling.

两个社区SIR模型在非对称耦合下的最终疫情规模。

Ben-Ari and Schinazi (J Stat Phys 162:415-425, 2016) introduced a stochastic model to study 'virus-like evolving population with high mutation rate'. This model is a birth and death model with an individual at birth being either a mutant with a random fitness parameter in [0, 1] or having one of the existing fitness parameters with uniform probability; whereas a death event removes the entire population of the least fitness. We change this to incorporate the notion of 'survival of the fittest', by requiring that a non-mutant individual, at birth, has a fitness according to a preferential attachment mechanism, i.e., it has a fitness f with a probability proportional to the size of the population of fitness f. Also death just removes one individual with the least fitness. This preferential attachment rule leads to a power law behaviour in the asymptotics, unlike the exponential behaviour obtained by Ben-Ari and Schinazi (J Stat Phys 162:415-425, 2016).

Rahul Roy

Hideki Tanemura

On a model of evolution of subspecies

关于亚种演化的模型

Models of ordinary differential equations are often used to describe the electrical, ionic and volumetric responses of cells to external stimuli. Although these cellular models are often solved numerically, rigorous evidence regarding their steady state solutions is scarce. In this work, we provide a formalism defining the conditions ensuring the existence and uniqueness of a steady-state solution in a large class of models including leak channels, a pump and cotransporters. Our work generalizes previous results and provides explicit conditions that a model must satisfy to guarantee the existence and uniqueness of a steady state.

Vincent Ouellet

Nicolas Doyon

Antoine G Godin

Pierre Marquet

Mathematical properties of pump-leak-cotransport models

泵-漏-共转运模型的数学性质

We study a diffusive epidemic model and examine the spatial spreading dynamics of a multi-strain infectious disease. In particular, we address the questions of competitive-exclusion or coexistence of the disease's strains. Our results indicate that if one strain has its local reproduction function spatially homogeneous, which either strictly minimizes or maximizes the basic reproduction numbers, then the phenomenon of competitive-exclusion occurs. However, if all the local reproduction functions are spatially heterogeneous, several strains may coexist. In this case, we provide complete information on the large time behavior of classical solutions for the two-strain model when the diffusion rate is uniform within the population and the ratio of the local transmission rates is constant. Particularly, we prove the existence of two critical superimposed functions that serve as threshold values for the ratio of the transmission rates and that of the recovery rates. Furthermore, when the populations' diffusion rates are small, our result on the asymptotic profiles of coexistence endemic equilibria indicate a spatial segregation of infected populations.

Jamal Adetola

Keoni G. Castellano

Rachidi B. Salako

Dynamics of classical solutions of a multi-strain diffusive epidemic model with mass-action transmission mechanism

多菌株扩散传染病模型经典解的动力学特性及质量作用传播机制

Biological invasions significantly impact native ecosystems, altering ecological processes and community behaviors through predation and competition. The introduction of non-native species can lead to either coexistence or extinction within local habitats. Our research develops a lizard population model that integrates aspects of competition, intraguild predation, and the dispersal behavior of intraguild prey. We analyze the model to determine the existence and stability of various ecological equilibria, uncovering the potential for bistability under certain conditions. By employing the dispersal rate as a bifurcation parameter, we reveal complex bifurcation dynamics associated with the positive equilibrium. Additionally, we conduct a two-parameter bifurcation analysis to investigate the combined impact of dispersal and intraguild predation on ecological structures. Our findings indicate that intraguild predation not only influences the movement patterns of brown anoles but also plays a crucial role in sustaining the coexistence of different lizard species in diverse habitats.

Jiawei Deng

Hongying Shu

Sanyi Tang

Lin Wang

Xiang-Sheng Wang

Coexistence or extinction: Dynamics of multiple lizard species with competition, dispersal and intraguild predation

共存还是灭绝：具有竞争、扩散和种内捕食的多种蜥蜴物种的动态

Chiara Boetti

Matteo Ruggiero

Filtering coupled Wright–Fisher diffusions

过滤耦合的Wright-Fisher扩散

Abbreviation	J. Math. Biol.
Journal Impact	2.19
Quartiles(Global)	MATHEMATICAL & COMPUTATIONAL BIOLOGY(Q2)

ISSN	0303-6812, 1432-1416
h-index	107

Publication Information	Publisher: Springer Verlag，Publishing cycle: Bimonthly，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1974，Proportion of original research papers: 99.24%，Self Citation Rate:9.10%， Gold OA Rate: 29.30%
Average review cycle	网友分享经验：较慢,6-12周
Average recruitment ratio	网友分享经验：较易

Journal of Mathematical Biology

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