Numerical optimal control of a size-structured PDE model for metastatic cancer treatment
In this paper, we propose a unified size-structured PDE model for the growth of metastatic
tumors, which extends a well-known coupled ODE-PDE dynamical model developed and …
tumors, which extends a well-known coupled ODE-PDE dynamical model developed and …
Optimal harvesting for a size-stage-structured population model
Y Li, Z Zhang, Y Lv, Z Liu - Nonlinear Analysis: Real World Applications, 2018 - Elsevier
In this paper, we consider the optimal harvesting for a size-stage-structured population
model. The main feature of this article is to study optimal harvesting, stage structure and …
model. The main feature of this article is to study optimal harvesting, stage structure and …
[PDF][PDF] Optimal stationary solution in forest management model by accounting intra-species competition
AA Davydov, AS Platov - Moscow Mathematical Journal, 2012 - scholar.archive.org
We consider a model of exploitation of a size-structured population when the birth, growth
and mortality rates depend on the individual size and interspecies competition, while the …
and mortality rates depend on the individual size and interspecies competition, while the …
[PDF][PDF] Optimal harvesting for a periodic n-dimensional food chain model with size structure in a polluted environment
T Zhang, Z Luo, H Zhang - Math. Biosci. Eng, 2022 - aimspress.com
2 School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070,
China* Correspondence: Email: tn− zhang91@ 163. com. Abstract: This study examines an …
China* Correspondence: Email: tn− zhang91@ 163. com. Abstract: This study examines an …
Optimal harvesting in forestry: steady-state analysis and climate change impact
We perform the steady-state analysis of a nonlinear partial differential equation model that
describes the dynamics of a managed size-structured forest. The harvesting policy is to …
describes the dynamics of a managed size-structured forest. The harvesting policy is to …
A size-structured model describing flocculation of unicellular algae
D Ni, W Ma - Applied Mathematical Modelling, 2022 - Elsevier
Flocculation is a chemically-based microorganisms separation technology, which is widely
used in the field of environmental engineering. The size of algae cell has a significant effect …
used in the field of environmental engineering. The size of algae cell has a significant effect …
Optimization of size-structured population with interacting species.
A Panesh, A Platov - Journal of Mathematical Sciences, 2013 - search.ebscohost.com
We study the dynamics of a size-structured population with interacting species. For given
exploitation intensities we establish the existence and uniqueness of a nontrivial stationary …
exploitation intensities we establish the existence and uniqueness of a nontrivial stationary …
A Population Harvesting Model with Time and Size Competition Dependence Function
We consider a nonlinear model describing a forest harvesting of a size-structured trees
population with intra-specific competition, where the population compete with trees of bigger …
population with intra-specific competition, where the population compete with trees of bigger …
Modelling and optimization for palm oil plantation management
In this paper, the problem of palm oil plantation management is considered. A non-linear
mathematical model is proposed considering two state variables as the density of the young …
mathematical model is proposed considering two state variables as the density of the young …
Existence of measure-valued solutions in optimal control of age-structured populations
We consider a nonlinear profit maximization problem in the Lotka–McKendrick model of age-
structured harvested population describing farmed populations in agriculture and …
structured harvested population describing farmed populations in agriculture and …