Dynamics of infectious diseases
Modern infectious disease epidemiology has a strong history of using mathematics both for
prediction and to gain a deeper understanding. However the study of infectious diseases is …
prediction and to gain a deeper understanding. However the study of infectious diseases is …
Implementing measurement error models with mechanistic mathematical models in a likelihood-based framework for estimation, identifiability analysis and prediction …
RJ Murphy, OJ Maclaren… - Journal of the Royal …, 2024 - royalsocietypublishing.org
Throughout the life sciences, we routinely seek to interpret measurements and observations
using parametrized mechanistic mathematical models. A fundamental and often overlooked …
using parametrized mechanistic mathematical models. A fundamental and often overlooked …
Impact of the fear effect in a prey-predator model incorporating a prey refuge
H Zhang, Y Cai, S Fu, W Wang - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, we investigate the influence of anti-predator behaviour due to the fear of
predators with a Holling-type-II prey-predator model incorporating a prey refuge. We first …
predators with a Holling-type-II prey-predator model incorporating a prey refuge. We first …
[图书][B] Collective animal behavior
DJT Sumpter - 2010 - degruyter.com
Fish travel in schools, birds migrate in flocks, honeybees swarm, and ants build trails. How
and why do these collective behaviors occur? Exploring how coordinated group patterns …
and why do these collective behaviors occur? Exploring how coordinated group patterns …
[图书][B] Undergraduate Texts in Mathematics
In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …
[图书][B] From simple to complex
Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …
The effect of the fear factor on the dynamics of a predator-prey model incorporating the prey refuge
J Wang, Y Cai, S Fu, W Wang - Chaos: An Interdisciplinary Journal of …, 2019 - pubs.aip.org
In this paper, we investigate the dynamics of an improved Leslie-Gower predator–prey
model which is characterized by the reduction of the prey growth rate due to fear of the …
model which is characterized by the reduction of the prey growth rate due to fear of the …
A validated mathematical model of cell-mediated immune response to tumor growth
Mathematical models of tumor-immune interactions provide an analytic framework in which
to address specific questions about tumor-immune dynamics. We present a new …
to address specific questions about tumor-immune dynamics. We present a new …
Mixed immunotherapy and chemotherapy of tumors: modeling, applications and biological interpretations
LG de Pillis, W Gu, AE Radunskaya - Journal of theoretical biology, 2006 - Elsevier
We develop and analyze a mathematical model, in the form of a system of ordinary
differential equations (ODEs), governing cancer growth on a cell population level with …
differential equations (ODEs), governing cancer growth on a cell population level with …
[图书][B] Mathematical modeling of biological pattern formation
A Deutsch, S Dormann - 2005 - Springer
In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …