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Bulletin of Mathematical Biology
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#1Yanni Xiao (Xi'an Jiaotong University)H-Index: 25
#2Changcheng Xiang (Huda: Hubei University)H-Index: 2
Last. Sanyi Tang (SNNU: Shaanxi Normal University)H-Index: 22
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There are many challenges to coupling the macroscale to the microscale in temporal or spatial contexts. In order to examine effects of an individual movement and spatial control measures on a disease outbreak, we developed a multiscale model and extended the semi-stochastic simulation method by linking individual movements to pathogen's diffusion, linking the slow dynamics for disease transmission at the population level to the fast dynamics for pathogen shedding/excretion at the individual leve...
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#1Mingshu Chen (SYSU: Sun Yat-sen University)
#2Hong Wu (SYSU: Sun Yat-sen University)H-Index: 2
Last. Yuanshi Wang (SYSU: Sun Yat-sen University)H-Index: 7
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This paper considers plant-pollinator-herbivore systems where the plant produces food for the pollinator, the pollinator provides pollination service for the plant in return, while the herbivore consumes both the food and the plant itself without providing pollination service. Based on these resource-consumer interactions, we form a plant-pollinator-herbivore model which includes the intermediary food. Using qualitative method and Kuznetsov theorem, we show global dynamics of the subsystems, uni...
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#1Alexandria Volkening (NU: Northwestern University)H-Index: 1
#2M. R. Abbott (Macalester College)
Last. Björn Sandstede (Brown University)H-Index: 40
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As zebrafish develop, black and gold stripes form across their skin due to the interactions of brightly colored pigment cells. These characteristic patterns emerge on the growing fish body, as well as on the anal and caudal fins. While wild-type stripes form parallel to a horizontal marker on the body, patterns on the tailfin gradually extend distally outward. Interestingly, several mutations lead to altered body patterns without affecting fin stripes. Through an exploratory modeling approach, o...
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#1Sanling Yuan (USST: University of Shanghai for Science and Technology)H-Index: 1
#2Dongmei Wu (USST: University of Shanghai for Science and Technology)
Last. Hao Wang (U of A: University of Alberta)H-Index: 10
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Stoichiometric producer-grazer models are nonsmooth due to the Liebig's Law of Minimum and can generate new dynamics such as bistability for producer-grazer interactions. Environmental noises can be extremely important and change dynamical behaviors of a stoichiometric producer-grazer model. In this paper, we consider a stochastically forced producer-grazer model and study the phenomena of noise-induced state switching between two stochastic attractors in the bistable zone. Namely, there is a fr...
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Despite being similar in structure, functioning, and size, viral pathogens enjoy very different, usually well-defined ways of life. They occupy their hosts for a few days (influenza), for a few weeks (measles), or even lifelong (HCV), which manifests in acute or chronic infections. The various transmission routes (airborne, via direct physical contact, etc.), degrees of infectiousness (referring to the viral load required for transmission), antigenic variation/immune escape and virulence define ...
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#1Guo Lin (Lanzhou University)H-Index: 14
#2Yibin Niu (Lanzhou University)
Last. Shigui Ruan (UM: University of Miami)H-Index: 53
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In this paper, we study the spreading speed in an integrodifference system which models invasion of predators into the habitat of the prey. Without the requirement of comparison principle, we construct several auxiliary integrodifference equations and use the results of monotone scalar equations to estimate the spreading speed of the invading predators. We also present some numerical simulations to support our theoretical results and demonstrate that the integrodifference predator-prey system ex...
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