1) The model assumes that both sides of the war are regular troops A 1 and A2, and the outcome of the war depends only on strength and combat effectiveness.

(1) The reduction of combatants, non-combatants and reinforcements should be considered in the change of strength, and the combat effectiveness is determined by the type of war, hit rate and hit rate.

② at time t, the forces of A 1 and A2 are x 1(t) and x2(t) respectively.

(3) The combat attrition of either side depends on the strength and combat effectiveness of both sides, which can be expressed by functions f 1(x 1, x2) and f2(x 1, x2) respectively, where f 1(x 1, x2) is directly proportional to x2.

④ The non-combat attrition rate of either side is in direct proportion to its own number.

⑤ The reinforcement ratio of either side can be expressed by functions u 1(t) and u2(t) respectively.

⑥ Ignore non-combat attrition, and neither side has reinforcements.

(2) Simulation requirements

(1) Draw the relationship diagram between system elements and environment.

② List the differential equation model (initial value is customized).

③ The fourth-order Runge-Kutta method is used for simulation calculation.

④ Output the results in the form of digital tables and graphs respectively.

⑤ Analyze the main factors that affect the system behavior.

⑦ If non-combat attrition and reinforcement are considered, and the reinforcement rates of both sides are corresponding constants, what is the result?

Lanchester Combat Dynamics Model II (Guerrilla warfare)

The (1) model assumes that both sides of the war are guerrillas A 1 and A2, and the outcome of the war depends only on strength and combat effectiveness.

(1) The reduction of combatants, non-combatants and reinforcements should be considered in the change of strength, and the combat effectiveness is determined by the type of war, hit rate and hit rate.

② at time t, the forces of A 1 and A2 are x 1(t) and x2(t) respectively.

(3) The loss of either side depends on the strength and combat effectiveness of both sides, which can be expressed by the functions f 1(x 1, x2) and f2(x 1, x2) respectively, where f 1(x 1, x2) and x/.

④ The non-combat attrition rate of either side is in direct proportion to its own number.

⑤ The reinforcement ratio of either side can be expressed by functions u 1(t) and u2(t) respectively.

⑥ Ignore non-combat attrition, and neither side has reinforcements.

(2) Simulation requirements

(1) Draw the relationship diagram between system elements and environment.

② List the differential equation model (initial value is customized).

③ The fourth-order Runge-Kutta method is used for simulation calculation.

④ Output the results in the form of digital tables and graphs respectively.

⑤ Analyze the main factors that affect the system behavior.

⑦ If non-combat attrition and reinforcement are considered, and the reinforcement rates of both sides are corresponding constants, what is the result?

Lanchester Combat Dynamics Model III (Mixed Combat)

1) The model assumes that the two sides of the war are guerrillas A 1 and A2, and the outcome of the war depends only on strength and combat effectiveness.

(1) The reduction of combatants, non-combatants and reinforcements should be considered in the change of strength, and the combat effectiveness is determined by the type of war, hit rate and hit rate.

② at time t, the forces of A 1 and A2 are x 1(t) and x2(t) respectively.

(3) The combat attrition of either side depends on the strength and combat effectiveness of both sides, which can be expressed by the functions f 1(x 1, x2) and f2(x 1, x2) respectively, where f 1(x 1, x2) and x/.

④ The non-combat attrition rate of either side is in direct proportion to its own number.

⑤ The reinforcement ratio of either side can be expressed by functions u 1(t) and u2(t) respectively.

⑥ Ignore non-combat attrition, and neither side has reinforcements.

(2) Simulation requirements

(1) Draw the relationship diagram between system elements and environment.

② List the differential equation model (initial value is customized).

③ The fourth-order Runge-Kutta method is used for simulation calculation.

④ Output the results in the form of digital tables and graphs respectively.

⑤ Analyze the main factors that affect the system behavior.

⑦ If non-combat attrition and reinforcement are considered, and the reinforcement rates of both sides are corresponding constants, what is the result?