在AWS ECS Fargate中，任务之间的网络连接可以通过服务发现和负载均衡器来实现。以下是一个使用AWS CloudFormation模板创建任务和负载均衡器的示例代码：

Resources:
  VPC:
    Type: AWS::EC2::VPC
    Properties:
      CidrBlock: 10.0.0.0/16

  SubnetA:
    Type: AWS::EC2::Subnet
    Properties:
      VpcId: !Ref VPC
      CidrBlock: 10.0.0.0/24
      AvailabilityZone: us-west-2a

  SubnetB:
    Type: AWS::EC2::Subnet
    Properties:
      VpcId: !Ref VPC
      CidrBlock: 10.0.1.0/24
      AvailabilityZone: us-west-2b

  InternetGateway:
    Type: AWS::EC2::InternetGateway

  VPCGatewayAttachment:
    Type: AWS::EC2::VPCGatewayAttachment
    Properties:
      VpcId: !Ref VPC
      InternetGatewayId: !Ref InternetGateway

  RouteTable:
    Type: AWS::EC2::RouteTable
    Properties:
      VpcId: !Ref VPC

  Route:
    Type: AWS::EC2::Route
    DependsOn: VPCGatewayAttachment
    Properties:
      RouteTableId: !Ref RouteTable
      DestinationCidrBlock: 0.0.0.0/0
      GatewayId: !Ref InternetGateway

  SubnetARouteTableAssociation:
    Type: AWS::EC2::SubnetRouteTableAssociation
    Properties:
      SubnetId: !Ref SubnetA
      RouteTableId: !Ref RouteTable

  SubnetBRouteTableAssociation:
    Type: AWS::EC2::SubnetRouteTableAssociation
    Properties:
      SubnetId: !Ref SubnetB
      RouteTableId: !Ref RouteTable

  SecurityGroup:
    Type: AWS::EC2::SecurityGroup
    Properties:
      GroupDescription: Allow all traffic
      VpcId: !Ref VPC

  TaskDefinition:
    Type: AWS::ECS::TaskDefinition
    Properties:
      NetworkMode: awsvpc
      RequiresCompatibilities:
        - FARGATE
      ContainerDefinitions:
        - Name: my-container
          Image: my-image
          PortMappings:
            - ContainerPort: 80

  Service:
    Type: AWS::ECS::Service
    Properties:
      Cluster: my-cluster
      LaunchType: FARGATE
      TaskDefinition: !Ref TaskDefinition
      DesiredCount: 2
      NetworkConfiguration:
        AwsvpcConfiguration:
          Subnets:
            - !Ref SubnetA
            - !Ref SubnetB
          SecurityGroups:
            - !Ref SecurityGroup

  LoadBalancer:
    Type: AWS::ElasticLoadBalancingV2::LoadBalancer
    Properties:
      Name: my-load-balancer
      Scheme: internet-facing
      Type: application
      Subnets:
        - !Ref SubnetA
        - !Ref SubnetB

  TargetGroup:
    Type: AWS::ElasticLoadBalancingV2::TargetGroup
    Properties:
      Name: my-target-group
      Port: 80
      Protocol: HTTP
      VpcId: !Ref VPC
      Targets:
        - Id: !Ref Service
          Port: 80

上述代码创建了一个VPC、两个子网、一个Internet Gateway、一个公有路由表和安全组。然后，它定义了一个任务定义和一个服务，使用了awsvpc网络模式和Fargate启动类型。最后，代码创建了一个负载均衡器和目标组，将任务的容器端口映射到负载均衡器。

这样，任务之间就可以通过负载均衡器进行网络连接了。